500 Bai Tich Phan

Gio vin : V Ngc Thnh THPT MNG SO Su tm trn cc din n ton hc Vit Nam

Su tm trn cc din n : http://k2pi.net/ http://toanphothong.vn/

SU TM 500 BI TON TCH PHN

STT BI CLICK CHUT TRI VO NG LINK DI Y XEM GI

1.

Tnh (((( ))))4

x0

sinx 2x.cos xI dx

e 1 sin 2x

pipipipi

====

++++

http://k2pi.net/showthread.php?2157-Cau-III-De-thi-thu-so-4-Tich-phan

2.

Tnh 2x x2

x 20

3e sin x(4e 3 sinx) 1I dx

(e sin x)

pipipipi

+ + + + + + + + ====

++++

http://k2pi.net/showthread.php?1838-Cau-III-De-thi-thu-DH-so-3-Tich-phan

3. Tnh

e 2

21

x 2. ln x 1I dx

x . x ln x

+ + + +====

++++

http://k2pi.net/showthread.php?1537-Cau-III-De-thi-thu-DH-so-2

4.

Tnh (((( ))))4

22

0

x tanxI dx

cos x 1 tanx

pipipipi

++++====

++++

http://k2pi.net/showthread.php?1500-Topic-Phuong-phap-tinh-tich-phan-ghep

5.

Tnh 6

20

tanx x tan2xI dx

cos 2x

pipipipi

++++====

http://k2pi.net/showthread.php?1500-Topic-Phuong-phap-tinh-tich-phan-ghep

6.

Tnh (((( )))) (((( ))))2 24

0

1 tan x x x tanx cos xI dx

3 cos2x

pipipipi

+ + + + ====

++++

http://k2pi.net/showthread.php?1302-Cau-III-De-thi-thu-so-1

7. Tnh

4e

1 42x x

(1 x lnx) ln x ln xI dx

xe e

==== http://k2pi.net/showthread.php?2423-Tinh-tich-phan-I-int_-1-e-dfrac-1-x-ln-x-ln-x-sqrt-4-ln-x-xe-2x-sqrt-4-e-x-dx

8.

Tnh 3

20

1 2cosxI dx

(2 cosx)

pipipipi

++++====

++++

http://k2pi.net/showthread.php?2340-Tinh-tich-phan-I-displaystyle-int_-0-frac-pi-3-dfrac-1-2-cos-x-2-cos-x-2-dx

9. Tnh

x x

dx

1 e 1 e+ + ++ + ++ + ++ + +

http://k2pi.net/showthread.php?2278-Tinh-nguyen-ham-int-dfrac-dx-sqrt-1-e-x-sqrt-1-e-x

10. Tnh

x5

x2

e (3x 1) x 1dx

e (x 1) x 1

+ + + + + + + +

+ + + + + + + +

http://k2pi.net/showthread.php?2252-Tinh-tich-phan-int_-2-5-dfrac-e-x-3x-1-sqrt-x-1-e-x-x-1-sqrt-x-1-dx

11. Tnh (((( ))))

2

2 21

dxI

2x 3 x 2====

+ ++ ++ ++ +

http://k2pi.net/showthread.php?2234-Tinh-tich-phan-I-int-limits_1-2-frac-dx-left-2-x-2-3-right-sqrt-x-2-2

12. Tnh

(((( ))))(((( ))))

32

26

ln x x cos x s inx s inxI dx

ln x. s inx x x

pipipipi

pipipipi

+ + + +====

+ + + +

http://k2pi.net/showthread.php?2240-Tinh-tich-phan-I-int_-frac-pi-6-frac-pi-3-dfrac-ln-x-left-x-cos-x-operatorname-s-text-inx-right-operatorname-s-text-inx-left-ln-x-operatorname-s-text-inx-x-2-x-right-2-dx

13. Tnh

1 x

x 20

a (xlna 1)dx

(a xlna 2)

++++

+ ++ ++ ++ +

http://k2pi.net/showthread.php?1847-Tinh-tich-phan-displaystyle-int_0-1-dfrac-a-x-xlna-1-a-x-xlna-2-2-dx



14.

Tnh (((( ))))3

0

x sin x cos xI dx

cos x x cos x

pipipipi

++++====

++++

http://k2pi.net/showthread.php?1846-Tinh-tich-phan-I-int-limits_0-frac-pi-3-frac-x-sin-x-cos-x-cos-x-left-x-cos-x-right-dx

15.

Tnh 3

60

sin x cos x(sin x 1)dx

sin x 1

pipipipi

++++

++++

http://k2pi.net/showthread.php?1808-Tinh-tich-phan-displaystyle-int_0-frac-pi-3-dfrac-sin-x-cos-x-sin-x-1-sin-6-x-1-dx

16.

Tnh (((( )))) (((( ))))2 20

I cos 2x . ln 1 cos x dx

pipipipi

= += += += + http://k2pi.net/showthread.php?1584-Tinh-tich-phan-I-int-limits_0-frac-pi-2-c-rm-os-left-2x-right-ln-left-1-c-rm-o-rm-s-2-rm-x-right-dx

17. Tnh

e x

x1

1 x(e 1)dx

x(1 xe lnx)

++++

http://k2pi.net/showthread.php?1727-Tinh-tich-phan-displaystyle-int_1-e-dfrac-1-x-e-x-1-x-1-xe-xlnx-dx

18. Tnh

2e

1

e

lnxln(x 1)I dx

x

++++====

http://k2pi.net/showthread.php?1458-Tinh-tich-phan-I-displaystyle-int_-frac-1-e-e-dfrac-lnxln-x-2-1-x-dx

19. Tnh

e 2

31

ln x lnxdx

(lnx x 1)

++++

+ ++ ++ ++ +

http://k2pi.net/showthread.php?1378-Tinh-tich-phan-displaystyle-int_1-e-dfrac-ln-2x-lnx-lnx-x-1-3-dx

20. Tnh

6

1

ln(2 x x 3)I dx

x 3

+ ++ ++ ++ +====

++++

http://k2pi.net/showthread.php?1649-Tinh-tich-phan-I-displaystyle-int_1-6-dfrac-ln-2-x-sqrt-x-3-sqrt-x-3-dx

21. Tnh

2

31

2I dx

x 2x====

++++

http://toanphothong.vn/showthread.php?t=4055

22. Tnh

3

21

1 x(2 ln x 1)I dx

x(x 1)

+ + + + ====

++++


23. Tnh

0

1

dxI

1 1 x====

+ ++ ++ ++ +


24. Tnh

6

1

dxI

x 6 x 3 12====

+ + ++ + ++ + ++ + +


25. Tnh

2e

2e

1 1I ( )dx

ln x ln x= = = =


26. Tnh 2

4

xdx

1 cos 2x

pipipipi

pipipipi


27. Tnh

32 2

0x . 3 x .dx


28. Tnh

2

4

0sin xdx

pipipipi


29. Tnh

3

12 2 3

xdx

1 x (1 x )+ + ++ + ++ + ++ + +




30. Tnh

20111

2 10070

xdx

(1 x )++++


31. Tnh

2e

1

x ln xdx

lnx 1

++++


32. Tnh (((( ))))x

1I dx

x 1 xe====

++++


33. Tnh

3 42

41

x xdx

x


34. Tnh 32

0sin x cos 2xdx

pipipipi


35. Tnh

20

/ 4

tan xI dx

cos x. cos(x )4

pipipipi====

pipipipi++++


36. Tnh

3

5

cot xI dt

tan x

==== http://toanphothong.vn/showthread.php?t=5972

37. Tnh

1

1 2 4 2

dxI

1 x x x 3x 1

====

+ + + + ++ + + + ++ + + + ++ + + + +


38. Tnh

1

0 55 5

dxI

(1 x ) 1 x====

+ ++ ++ ++ +


39. Tnh 4

2

3

x sin2x ln(sin x)I dx

cos x

pipipipi

pipipipi

++++====


40. Tnh 4

30

cos 2xdx

(sin x cos x 2)

pipipipi

+ ++ ++ ++ +


41. Tnh

x3

2

edx

1 x


42. Tnh

e 2x

21

(1 ln x) ln xe xdx

x[ ]++++++++


43. Tnh

ln 2 2x x

2x x0

e 3edx

e 3e 2

++++

+ ++ ++ ++ +


44. Tnh

3 31

1 4

3

x xI dx

x


45. Tnh

33 2 2011

2

(x 3x 2) dx

+ + + + http://toanphothong.vn/showthread.php?t=4920



46. Tnh 2

3

6

sin x cos xI dx

sin x

pipipipi

pipipipi

++++====


47. Tnh

2

1 3

dx

x 1 x++++


48. Tnh

3x1

x0

x 1 edx

e

+ + + +


49. Tnh

3

4 21

dx

x (1 x )++++


50. Tnh 2

3

6

sin x cos xI dx

sin x

pipipipi

pipipipi

++++====


51. Tnh

2

1 3

dx

x 1 x++++


52. Tnh

3x1

x0

x 1 edx

e

+ + + +


53. Tnh

3

4 21

dx

x (1 x )++++


54. Tnh

2

2

0

cos x cos xI dx

1 sin x cos x

pipipipi ++++====

+ ++ ++ ++ +


55. Tnh 2

6

1 sin 2x cos 2xdx

sin x cos x

pipipipi

pipipipi

+ ++ ++ ++ +

++++


56. Tnh

2

2 21

dxI

7x 4x 3====

+ + + +


57. Tnh

1

(x 1)(x 2)(x 3)(x 4)I dx

x x

+ + + ++ + + ++ + + ++ + + +====


58. Tnh

0

cos xI dx

3 cos x

pipipipi

====


59. Tnh 2

3

4

(x 2 sin x 3)cos xI dx

sin x

pipipipi

pipipipi

+ + + + ====


60. Tnh

21 sin xI dx

1 cos x

++++====

++++


61. Tnh

2 3 2

3 21

2x x 1I dx

x(x x x 1)

+ + + + ====

+ ++ ++ ++ +


62. Tnh

e

1

3x lnx x ln x 3dx

x ln x 1

+ + ++ + ++ + ++ + +

++++




63. Tnh

21

0

2x xdx

x 1 x

+ + + +


64. Tnh

pi22

6

1sin x sin x dx

2pipipipi++++


65. Tnh

4

2

ln(9 x)I dx

ln(9 x) ln(3 x)

====

+ + + + + + + +


66. Tnh

1

0

1 x

1 x

++++

++++


67. Tnh

0

xI dx

1 sin x

pipipipi

====

++++


68. Tnh

21 2 x

0x(1 x )e dx


69. Tnh 4

20

ln(sin x cos x)dx

cos x

pipipipi ++++


70. Tnh

1 3

3 22

x 1I dx

x x

++++====


71.

Tnh 44

0

1 cos xI dx

1 cos 2x

pipipipi

++++====

++++


72.

Tnh 2

0

sin 3xI

cos2x 3

pipipipi

====

++++


73. Tnh

1

0 55 5

dx

(1 x ) 1 x+ ++ ++ ++ +


74. Tnh cosx 1 cos x++++ http://toanphothong.vn/showthread.php?t=8642

75. Tnh

1

23 222

dxI

(2x 3). 4x 12x 5====

+ + ++ + ++ + ++ + +


76. Tnh

2

2

xdx

(x cosx)++++


77. Tnh

2e

21

1 x ln xI dx

x 2 lnx

++++====

++++


78. Tnh

3

dxI

x 1====


79. Tnh

6 6

sin xdx

cos x sin x++++




80. Tnh (((( )))) (((( ))))3 4

dxI

2x 1 3x 1====


81. Tnh

12 2x

0

I (4x 2x 1)e dx= = = = http://toanphothong.vn/showthread.php?t=7303

82. Tnh

sin xI dx

sin x cos x====

++++


83. Tnh

3

2 2

1dx

x 16++++


84. Tnh 4

5 3

6

dxI

sin x cos x

pipipipi

pipipipi====


85. Tnh 4

36

dxI

sin x cos x

pipipipi

pipipipi====


86. Tnh

13 3

0x 1 x dx


87. Tnh

2

21

dxI

x 2 2x x 1====

+ + + +


88.

Tnh 2

0

sin xI dx

2 sin x

pipipipi

====

++++


89. Tnh

1x

0I e . sin 2xdx====


90. Tnh

x32I e .(2x 3x 5)dx

= += += += + http://toanphothong.vn/showthread.php?t=7649

91.

Tnh

3

22

20

x(x 1)I dx

2 3 x

++++====


92. Tnh

23

1 2

x 2x 1I dx

x 1++++

====


93. Tnh (((( ))))e x 1 2

1

x lnx ln x dx++++ ++++ http://toanphothong.vn/showthread.php?t=9593

94.

Tnh 2

0

cos x 3 sinxI

2 cos 2x 3 sin2x

pipipipi

====

+ ++ ++ ++ +


95. Tnh

0

31

1 x 1I .dx

1 x 1

+ + + +====

+ ++ ++ ++ +


96. Tnh

1

x0

1 xdx

x e++++

++++




97. Tnh

2e

2e

2x ln x xI dx

2 ln x


98. Tnh 3

2

3

x. sin xI dx

cos x

pipipipi

pipipipi


99. Tnh (((( )))) (((( ))))1 92

0

I 4x 3 2x 1 dx= + = + = + = + http://toanphothong.vn/showthread.php?t=9096

100. Tnh

1 22

20

x xI x sin dx

41 x

pipipipi= += += += +

++++


101.

Tnh 22

30

sin xI dx

cos x4

pipipipi

====

pipipipi++++


102.

Tnh 4

20

ln(sin x cos x)I dx

cos x

pipipipi

++++====


103. Tnh

21

x 3x

0

I (2x 1)(2x 3) 2 e dx = += += += + http://toanphothong.vn/showthread.php?t=8924

104.

Tnh (((( ))))24

40

cos xI dx

sin x cos x

pipipipi

====

++++


105. Tnh 8

8

x cos x cos8x cos 7xdx

1 2 cos 5x

pipipipi

pipipipi

+ + + +

++++


106. Tnh (((( ))))

1

2 20

dxI

x 1. x x 1====

+ + ++ + ++ + ++ + +


107. Tnh

2

2

9x 6x 12I dx

(x 1)(x 4)

+ ++ ++ ++ +====

+ ++ ++ ++ +


108. Tnh (((( ))))

e

22

1

x ln xdx

x 1++++


109. Tnh

(((( ))))(((( ))))

1

20

ln x 1I dx

x 2

++++====

++++


110.

Tnh 2

0

sin 2x.dx

3 4 sin x cos 2x

pipipipi

+ + + +




111. Tnh

3210

23

4 (x x) x 2I dx

x 3x 2

+ + + + ====

+ + + +


112. Tnh 4

26

tan xI dx

cos x 1 cos x

pipipipi

pipipipi====

++++


113. Tnh

e

1

ln xI dx

x 1 3 ln x====

++++


114. Tnh 2 xx e sinxdx http://toanphothong.vn/showthread.php?t=340

115. Tnh

2

1

1I 1dx.

x= += += += +


116. Tnh 6

20

tanx xtan2xdx

cos 2x

pipipipi ++++


117. Tnh

2 2

20

x cos x x sinx cosx 1

(1 x sinx)

++++


118. Tnh

1

4 21

| x | dx

x x 12


119. Tnh 2

4

sinx cosxI dx

4 cos2x.tan(x )4

pipipipi

pipipipi

++++====

pipipipi+ + + +


120. Tnh

2 2

x 1dx

x 2x 2x 1

+ + + +


121.

Tnh 2

0

sin3xdxI

1 3cosx

pipipipi

====

++++


122. Tnh

3 3

2

3

sin x sinx cotxdxI

sinx

pipipipi

pipipipi


123. Tnh

e

31

(1 lnx) lnxI dx

(1 x lnx)

++++====

+ ++ ++ ++ +


124. Tnh

3 22

4 31

x x 4x 1I dx

x x 2

+ + + +====

+ ++ ++ ++ +


125.

Tnh 4

20

tanxI dx

cosx cos x 1

pipipipi

====

++++


126. Tnh dxI

1 x x 1====

+ + ++ + ++ + ++ + +


127. Tnh

2

2 2

2x 2x 13I dx

(x 2)(x 1)

+ ++ ++ ++ +====

+ + + +


128. Tnh

2

1 1dx

lnx(lnx)




129. Tnh 24

0(x sin 2x)cos2xdx

pipipipi

++++ http://toanphothong.vn/showthread.php?t=261

130. Tnh 0

1 3 2

dx

(x 1) x 2x 2

+ + + +


131. Tnh

20

xsinxdxI

1 cos x

pipipipi

====

++++


132. Tnh

x

x 1dx

x(1 xe )

++++

++++


133. Tnh 4

20

sinxdxI

(sinx cosx)

pipipipi

====

++++


134. Tnh

3 2x xdx

x


135. Tnh

2

22

dx

(x 1)

++++


136. Tnh

42

0

I x 6x 9dx= += += += + http://toanphothong.vn/showthread.php?t=2122

137. Tnh cos2xI dx

cosx 3.sinx====


138. Tnh x xe e 2dx+ + + + http://toanphothong.vn/showthread.php?t=1900

139. Tnh

1

2 20

1dx

(x 1) x 3+ ++ ++ ++ +


140. Tnh

2x x 1I dx

x 1

+ ++ ++ ++ +====

++++


141. Tnh

22

41

1I x 1 ln(x 1) lnx dx

x

= + = + = + = +


142. Tnh

3 3 3 22

1

x x 8 (3x 5x )lnxI dx

x

+ + ++ + ++ + ++ + +====


143. Tnh 2 2 2I x a x= = = = http://toanphothong.vn/showthread.php?t=1636

144. Tnh

2 2

2 21

x 1T dx

(x x 1)(x 3x 1)

====

+ + + + + + + + + + + +


145. Tnh

2

0

xdxI

2 x 2 x====

+ + + + + + + +


146. Tnh (((( ))))

e

1 2

1I x lnx 1 dx

x 1 3 lnx 1

= = = = + ++ ++ ++ +


147.

Tnh 2

0

cosx 1 sinxT dx

sinx 3

pipipipi

====

++++




148. Tnh

1 4

0

1 xI dx

1 x

++++====

++++


149.

Tnh 6

50

sinxI x dx

cos x

pipipipi


150. Tnh 4

0

tanx.ln(cosx)dx

cosx


151. Tnh 2

0

cosxI dx

1 sin2x

pipipipi

====

++++


152. Tnh

0

xdx

1 sinx

pipipipi

++++


153. Tnh dx

cos3x cosx++++


154. Tnh

1 2x x

x0

3e 5e 4J dx

e 1

+ + + +====

++++


155. Tnh

8

4 3

xdx

(x 1)


156. Tnh

20

xsinxdx

1 cos x

pipipipi

++++


157. Tnh

2 2

3 21

x 10dx

x 2x 5

++++

+ + + +


158. Tnh 2

5 22

dx

x xI


159. Tnh

2

1220

tan x 3dx

3tan x 1

pipipipi


160. Tnh 3 3I 3x x dx= = = = http://toanphothong.vn/showthread.php?t=2307

161. Tnh

1 2x

x 2x0

x eI dx

x.e e

====

++++


162. Tnh 24

0I x. tan xdx

pipipipi


163. Tnh

3

2 2

6x 8x 1I dx

(3x 4) x 1

+ ++ ++ ++ +====

+ ++ ++ ++ +


164. Tnh

3 2

4

x xI dx

4x 5

++++====

++++


165. Tnh

2 2

2

1 2x x 1 2xI dx

1 x x 1

+ + ++ + ++ + ++ + +====

+ + ++ + ++ + ++ + +


166. Tnh

2 2

xdxI

2x 1 3 x 1====

+ + + +




167. Tnh

x

cotx 1dx

e sinx 1

++++

++++


168. Tnh

3

xdxdx.

1 3x


169.

Tnh 32

0

cos xdx

2 sin2x

pipipipi


170. Tnh

2

x lnxdx

1 x++++


171. Tnh

1

2 4 21

1dx

x x 1 x 3x 1

+ + + + ++ + + + ++ + + + ++ + + + +


172. Tnh 2I 1 x dx= += += += + http://toanphothong.vn/showthread.php?t=2153

173. Tnh I sinx. ln(sinx)dx==== http://toanphothong.vn/showthread.php?t=2875

174. Tnh

3e

1

2 lnx 1I dx

x( lnx 1 1)

++++====

+ ++ ++ ++ +


175. Tnh 2xcosx (x 2)sinxI dx

xcosx sinx

+ + + + ====


176. Tnh

9

10 10

cos xdx

sinx(sin x cos x)++++


177. Tnh

3 3

3

2

sin x sinxI dx

sinx

pipipipi

pipipipi


178. Tnh 1I dx

sin2x 2sinx====


179. Tnh I tan x cot x dx

6 3

pi pipi pipi pipi pi= + += + += + += + +


180.

Tnh 992

99 990

(cosx).dx

(cosx) (sinx)

pipipipi

++++


181. Tnh

1

21 22

1dx

(3 2x) 5 12x 4x

+ + ++ + ++ + ++ + +


182. Tnh

38

3 2

x lnxdx

x 1++++


183. Tnh 1I dx

2x 1 x 2 x 1 x====

+ + + +


184. Tnh

2

xI

3x 9x 1====

+ + + +




185.

Tnh 2

0

sinx(1 14xcosx) x sin4xI dx

7 2cos2x

pipipipi

+ + + + ====


186. Tnh

2

44 2

4

sin xdx

cos x(tan x 2 tanx 5)

pipipipi

pipipipi + + + +


187. Tnh

1

20

ln(1 x)dxI

x 1

++++====

++++


188. Tnh 2

0

dxI

sinx 2cosx

pipipipi

====

++++


189. Tnh 2

3

1dx

sin2x 2 sinx

pipipipi

pipipipi


190. Tnh

2 2

2 21

x 1dx

(x x 1)(x 3x 1)

+ + + + + + + + + + + +


191. Tnh I x tanxdx==== http://toanphothong.vn/showthread.php?t=2539

192. Tnh

2 4

61

x 1dx

x 1

++++

++++


193. Tnh sin4x dx

cos3x


194.

Tnh 4

20

1dx

(1 sinx)cos x

pipipipi

++++


195. Tnh

x

x

xedx

e 1++++


196. Tnh 2

0

dx

1 sinx

pipipipi

++++


197. Tnh

2

21

dx

x(x 2)++++


198. Tnh

2

dx

5x 8x 6 + + + +


199. Tnh

ex

1

I x .(lnx 1)dx.= += += += + http://toanphothong.vn/showthread.php?t=3141

200. Tnh

x/ 3

20

x.e (4 4(sinx cosx) sin2x)dx

(1 cosx)

pipipipi + + ++ + ++ + ++ + +

++++


201. Tnh 2 2 2

4 4

4sin x cos 2x 2cos 2x4

I dxsin x cos x

pipipipi+ + + +

====

++++


202. Tnh

3 5

dxI

sin xcos x====




203. Tnh

2 2x 2 x xln 2

2x x0

(x 2)e x (1 e ) edx

e e 1

+ + + + + + + +

+ + + +


204. Tnh

20105

2011 20112

(x 1)xdx

(x 1) x

+ ++ ++ ++ +


205. Tnh 2

2

2

x cosx

4 sin x

pipipipi

pipipipi

++++


206. Tnh (((( ))))1 x x

1

e e sinxdx


207. Tnh

22 2

23

x 1I dx

x

++++====


208.

Tnh

3

3 2

40

x 3 xI ln dx

21 x

====


209.

Tnh 36

0

sinxdx

cos2x

pipipipi


210. Tnh

1

220

ln(1 x)I dx

2x 2x 1

====

+ + + +


211. Tnh 0

I ln(1 cosx)dxpipipipi


212. Tnh

e

2 21

x lnxI dx

(1 x )====

++++


213. Tnh

e

2 21

lnx 1dx

x (lnx)


214. Tnh

33 2 x4x2

1

2

3I 4x 2 e dx

x

++++

= += += += +


215.

Tnh 2

0

sinx.(1 14xcosx) xsin4xdx.

7 2 cos2x

pipipipi

+ + + +


216. Tnh 2

3 30

sinxdx

sin x cos x

pipipipi

++++


217. Tnh

3e

2

1 2

log xdx

1 3ln x++++


218. Tnh

6

12

xdx

1 x++++


219. Tnh

2

2

xdx

(xsinx cosx)++++


220. Tnh

1

2 23

dxI

(x 6x 13)

====

+ ++ ++ ++ +




221. Tnh

14 3

0

x 3x dx++++ http://toanphothong.vn/showthread.php?t=3251

222. Tnh

2

4

x 1I dx

x 1

====

++++


223. Tnh

3

3

sin x sinxcotxdx

sin

x sinx


224. Tnh

1 2 2

x1

x ln(1 x )dx

2 1

++++

++++


225. Tnh

xe sinxdx

1 sin2x++++


226. Tnh x(x 2) dx

4 x


227. Tnh 3 3 3I sin x cos xdx= += += += + http://toanphothong.vn/showthread.php?t=3202

228. Tnh 4

0

xdx

sinx cosx

pipipipi

++++


229. Tnh

22

0

I max{x ,3x 2}= = = = http://toanphothong.vn/showthread.php?t=3206

230. Tnh

12 3 4

1

I x (1 x ) dx

= = = = http://toanphothong.vn/showthread.php?t=3531

231. Tnh 4

0

cosx sinxdx

2 sin2x

pipipipi

++++


232. Tnh

23

41

x 1dx

x 1

++++

++++


233. Tnh

/ 6

30

dxI

cos x

pipipipi


234. Tnh

3

2

6

cos xdx

sinx

pipipipi

pipipipi


235. Tnh

4

2 21

x lnxdxI

(x 1)====

++++


236.

Tnh 6

0

4cos5x sin2xI dx

x1 tanx tan

2

pipipipi

====

++++


237. Tnh e

3x 2x

1I e 1e dx= += += += +


238. Tnh

2 x1

20

(x 2x 2)eI dx.

x 4x 4

+ ++ ++ ++ +====

+ ++ ++ ++ +


239. Tnh

sin x 1

2

0

(1 cosx)J ln dx

sinx 1

pipipipi ++++++++====

++++




240. Tnh

3

2 2

x 2I dx

x x 4

++++====

+ + + +


241. Tnh

2e

1/ e

lnx ln(x 1)dx

x

++++


242.

Tnh 3 2

20

xdx

(xsinx cosx)

pipipipi

++++


243.

Tnh 2

30

cosxI dx

( 3 sinx cosx)

pipipipi

====

++++


244. Tnh

3 5 2

20

x 2xI dx

x 1

++++====

++++


245. Tnh

12

0

dx

4x 1 x 4+ + ++ + ++ + ++ + +


246. Tnh

6

2

dx

2x 1 4x 1+ + ++ + ++ + ++ + +


247. Tnh

3 2

20

x 1I dx

x 1

++++====

++++


248. Tnh

xe

x1

1 x(e 1)dx

x(1 xe lnx)

++++


249.

Tnh 2

0

5 7x xcos2xI dx.

2(2 cosx)

pipipipi

+ + + + ====

++++


250.

Tnh 2

2 20

dxI

3sin x cos x

pipipipi

====

++++


251. Tnh 1

3x 1

0e dx++++


252. Tnh

x

2

2 x

e (x 2)dx

x e 9

++++


253. Tnh 2

2 2

4

sinx xcosxdx

x sin x

pipipipi

pipipipi


254. Tnh 3 sin x2

0I (3cosx 4cos x)e dx

pipipipi


255. Tnh

4 x

2x1

(1 2x)edx

x(x e )

256. Tnh

7 53 2 2

26 31 5

2

(x 1)(x 2x 1)I dx.

x 14x 1

++++

++++

+ + + + + + + + ====

+ + + +




257. Tnh

(((( ))))52

ln x 1 1I dx.

x 1 x 1

+ + + +====

+ + + +


258.

Tnh 2

2 20

3sinx 4cosxI dx

3sin x 4cos x

pipipipi

++++====

++++


259. Tnh

1 2x

x0

1 (2 x)xeI dx

1 xe

+ ++ ++ ++ +====

++++


260.

Tnh 26

x x1 2 2 sin cos

2 4 2I dx

sinx cosx

pipipipi

pipipipi

pipipipi+ ++ ++ ++ +

====

++++


261. Tnh 3

4

6

dxI

sin xcosx

pipipipi

pipipipi====


262.

Tnh 24

0

1 2 sin xI dx

1 sin2x

pipipipi

====

++++


263. Tnh 43

4

I tan xdxpipipipi

pipipipi====


264.

Tnh 6 4

0

tan xI dx

cos2x

pipipipi


265.

Tnh 2

20

4sinxdxI

(sinx cosx)

pipipipi

====

++++


266.

Tnh 4

0

sin(x )4 dx

sin2x 2(1 sinx cosx)

pipipipi pipipipi

+ + ++ + ++ + ++ + +


267. Tnh 3

6

dx

sinx sin(x )6

pipipipi

pipipipi pipipipi++++


268.

Tnh 2

10 10 4 4

0

I (cos x sin x cos x.sin x)dx

pipipipi

= + = + = + = + http://toanphothong.vn/showthread.php?t=3528

269. Tnh

34

12 x

0

xI x e dx.

1 x

= += += += + ++++


270. Tnh

(((( ))))222

1

ln x 1 xI dx

(x 1)

+ ++ ++ ++ +====

++++


271. Tnh

1

21 x 22

| x |I dx

(2 1) 1 x====

+ + + +




272. Tnh

e 2

1

ln x 3 lnx 3I dx

x(lnx 2)

+ + + +====


273. Tnh

2

30

x (3 cosx 4sinx)sin x 4I dx

1 sin x

pipipipi pi + +pi + +pi + +pi + + ====

++++


274. Tnh 2

2

3

sinx(2 cosx 3)I dx.

sin x 2cosx 2

pipipipi

pipipipi

====

+ + + +


275. Tnh

ln2 x

x0

1 eI dx

1 e

====

++++


276. Tnh

2 2

0

(3 sinx sin3x)x 8xcos xI dx.

2 cos2x

pipipipi + + + + ====

++++


277. Tnh

1x

0

1 sinxI e dx

1 cosx

++++====

++++


278. Tnh 2

4

4

cotxdx

1 sin x

pipipipi

pipipipi ++++


279. Tnh

4

20

xdx

3 x 9+ ++ ++ ++ +


280. Tnh

4 4

1I dx

sin x cos x====

++++


281.

Tnh (((( ))))1 cos x2

0

1 sinxI ln dx

1 cosx

pipipipi++++

++++====

++++


282. Tnh 6

3 2 2

dxI

x x 9====


283. Tnh 4

3

4 44

xcos ( x)I dx

3 3cos x sin x 1

2 2

pipipipi

pipipipi

pi pi pi pi ====

pi pipi pipi pipi pi + + + + + + + +


284. Tnh

2

4

0

2x cos xI dx.

1 sin2x

pipipipi ++++====

++++


285. Tnh

e

1

sin2x lnex xsin2x lnxdx

1 x lnx

+ ++ ++ ++ +

++++


286. Tnh

2

0

dxI

2 cosx

pipipipi

====

++++


287.

Tnh 2

5

0

I sinx(2x 1 cos x)dx

pipipipi


288. Tnh

x 21

30

e (x 2)I dx

x




289. Tnh (((( ))))

2e

1

1 lnx(3 2 lnx)I dx

x 1 2 lnx

+ ++ ++ ++ +====

+ ++ ++ ++ +


290.

Tnh 22

0

x sin xI dx

1 sin2x

pipipipi

++++====

++++


291. Tnh

12

1

I (2x 1) ln(x x 1)dx

= + += + += + += + + http://toanphothong.vn/showthread.php?t=4146

292.

Tnh 2

6

0

2 sin ( x)4I dx.

cos2x

pipipipi pipipipi

====


293. Tnh

1 2 x

x0

(x x)eI dx

x e++++

====

++++


294. Tnh 0

2

21log (x x 1)dx+ ++ ++ ++ +


295. Tnh

33

21

xdx

(x 1)++++


296. Tnh

2

x1

1I dx

x e====

++++


297. Tnh

4

20

(x 1)I dx

(1 1 2x)

++++====

+ ++ ++ ++ +


298. Tnh

(((( ))))(((( ))))

2e

21

2 x x 1 lnx ln xI dx

1 x lnx

+ + + + ====

++++


299. Tnh (((( ))))

2

212

dxI

2x x 2

====

+ + + +


300. Tnh

2e

1

(x 1)sin(lnx) xcos(lnx)I dx

x

pipipipi

+ + + +====


301. Tnh

1 2

2 20

2012 xI dx

(2012 x )

====

++++


302. Tnh

2e 2

2 2e

2 lnx(2 ln x)I dx

x .ln x

+ ++ ++ ++ +====


303.

Tnh 2

6

0

2 sin ( x)4I dx.

cos2x

pipipipi pipipipi

====


304. Tnh

32 2

0I 1 x x dx= += += += +


305. Tnh

0

I 1 sinxdx.pipipipi




306.

Tnh 4

0

tanx ln(cosx)I dx.

cosx

pipipipi


307. Tnh

(((( ))))(((( ))))

x 2 x2 3

x2

e lnx x 4 xe 1I dx

x e lnx

+ + + ++ + + ++ + + ++ + + +====

++++


308.

Tnh (((( ))))4

20

xdxI

cos x 1 tanx

pipipipi

====

++++


309. Tnh

43 2

0

I x 2x xdx= += += += + http://toanphothong.vn/showthread.php?t=4696

310. Tnh

3e 2

1

lnx. 1 ln xI dx

x

++++====


311.

Tnh 2

30

4sinxI dx

(sinx cosx)

pipipipi

====

++++


312. Tnh

2

420

x

(xsinx cosx)

++++


313.

Tnh 4

0

x(x sinx x) sinxI dx

x 1

pipipipi

+ + + + ====


314.

Tnh 1 cosx2

0

(1 sinx)ln dx

1 cosx

pipipipi

++++ ++++

++++


315.

Tnh 4

0

sin3x 3sinxI dx

sinx cosx

pipipipi

++++====

++++


316. Tnh 4

0

tanxI dx

3 cos2x

pipipipi

====


317. Tnh

2 x 2 x

2 x1

2(1 xe ) x edx

x (2 xe )

+ ++ ++ ++ +

++++


318. Tnh (((( ))))

5

3

x 3 x 1I dx

x 1 x 1

+ + + + + + + +====

+ ++ ++ ++ +


319.

Tnh 2

0

sin2x.cosxI dx

1 cosx

pipipipi

====

++++


320. Tnh 2

2 2

2

sinx cosxI dx

3sinx 4cosx

++++====

++++


321. Tnh

23

2 32

xdx

(x 1)




322. Tnh (((( ))))1 x01 (x 1) lnx e dx+ ++ ++ ++ +


323. Tnh

2

x xI ln dx

1 x1 x====


324. Tnh

2

2

0

x sin xI dx

1 sin2x

pipipipi ++++====

++++


325. Tnh

sin x 2 sin x 2 sin x

2 2 sin x

2

(e e x )xcosx eI dx

x e

pipipipi

pipipipi

+ + + + ====


326. Tnh

e 2

31

ln x lnxI dx

(lnx x 1)

++++====

+ ++ ++ ++ +


327. Tnh 2

2 2

2

x cosxI dx

3cos x 4sin x

pipipipi

pipipipi

++++====

++++


328. Tnh

2 2

22 2

6

sin x x cosx xsin2xdx

(xsinx sin x)

pipipipi

pipipipi

++++


329. Tnh

24

0

x dxI

x x 1====

++++


330. Tnh

2

3

3

x(x sinx)I dx

(1 sinx)sinx

pipipipi

pipipipi

++++====

++++


331.

Tnh 2

2 20

3sinx 4cosxI dx

3sin x 4cos x

pipipipi

++++====

++++


332. Tnh

1

0 2

dxI

(x 1) x 2x 2====

+ + ++ + ++ + ++ + +


333.

Tnh 24

20

xI dx

(x sinx cosx)

pipipipi

====

++++


334. Tnh

3

2

2 2e

e

2x ln x x lnx 3I dx

x(1 lnx)

+ + + +====


335. Tnh (((( ))))e 23 2

1

x 1 x lnxI cos ln x 1 dx

x x

+ + + + = += += += + ++++


336. Tnh (((( ))))

2 4

22

4

x cos2x x sin2x cos xI dx

x sinxcosx

pipipipi

pipipipi

====

++++


337. Tnh

1 4 2

40

x 1 xI dx

x 1

+ + + + ====

++++


338. Tnh 3 3 2

14 x dx


339. Tnh

(((( ))))(((( ))))

2 25

22 21

lnx ln x 15I dx.

x 15 x x 15

+ + + +====

+ + ++ + ++ + ++ + +




340. Tnh (((( )))) (((( )))) (((( ))))2 2 2 2 2 2

dxI

x a x b x c====

+ + ++ + ++ + ++ + +


341. Tnh

22

1

x 1dx

x 2


342. Tnh

3 5 3

20

x 2xdx

x 1

++++

++++


343.

Tnh 2

0

I sinx sin2xdx

pipipipi


344. Tnh

1

2 4 21

dxI

1 x x x 3x 1

====

+ + + + ++ + + + ++ + + + ++ + + + +


345. Tnh

(((( )))) (((( ))))2 220

x 1 sin x x cosx sin2x 1I dx

xsinx cosx

pipipipi

+ + + + + + + + + + + +====

++++


346. Tnh

1 2 2x x x

x0

x e 3xe e 1I dx

xe 1

+ + ++ + ++ + ++ + +====

++++


347. Tnh

3e 2 2

1

(x 1 ln x) lnxI dx

x

+ ++ ++ ++ +====


348.

Tnh 2

x

0

xI ln 1 tan e dx.

2

pipipipi

= += += += +


349.

Tnh 2

20

cos2xI dx

1 sin x

pipipipi

====

++++


350. Tnh

e

21

lnx(lnx 3) x 3I dx

(x lnx)

+ + + + + + + +====

++++


351.

Tnh 6

20

sin3xI dx

cos x

pipipipi


352. Tnh

4

2

ln( 9 x)I dx

ln(9 x) ln( x 3)

====

+ + + + + + + +


353. Tnh

3 2

4x

2

cot x cotxI dx

e

pipipipi

pipipipi

++++====


354. Tnh

0

cos2xdx

2cosx 3

pipipipi

++++


355. Tnh

(((( )))) (((( ))))(((( ))))

x x1

3x x

0

1 2x e 1 2x eI dx

e e

+ + + + + + + +====

++++




356. Tnh

21

2 x x 1

0

(2x x 1).e dx+ ++ ++ ++ ++ ++ ++ ++ + http://toanphothong.vn/showthread.php?t=5486

357. Tnh 2

3

2 sinxI dx.

1 cosx

pipipipi

pipipipi

++++====

++++


358. Tnh 2 2

e

22

x (4 lnx 1) ln x(2x 1) 4x lnxI dx

x lnx(x lnx)

+ + + ++ + + ++ + + ++ + + +====

++++


359. Tnh

21

2 x x 1

0

H (2x x 1)e dx+ ++ ++ ++ += + += + += + += + + http://toanphothong.vn/showthread.php?t=5308

360. Tnh (((( )))) (((( ))))

1

x 21

dxI

2012 1 1 x

====

+ ++ ++ ++ +


361. Tnh 2

20

11x 6I dx

(3cosx 4sinx)

pipipipi

====

++++


362.

Tnh 24

sin x4

I dx2sinxcosx 3

pipipipi

pipipipi

pipipipi++++

====


363. Tnh (((( ))))1 20122011

0

I x 1 x dx= = = = http://toanphothong.vn/showthread.php?t=4837

364. Tnh (((( ))))

e x

2x

1

[1 (x 1)e ]. lnxI dx

1 e

====

++++


365. Tnh (((( ))))

(((( ))))6 212sinx cosx x sinx cosx 1

I dxx x sinx cosx sinxcosx

pipipipi

pipipipi

+ + + + + + + +====

+ + + + + + + +


366. Tnh (((( ))))(((( )))) (((( ))))43

1 tanxI dx

ln cosxtan ln sinx

pipipipi

pipipipi

= += += += +


367. Tnh

1

1 2 2 2 2

1I dx.

(x 1) (x 1) 4x

====

+ + + ++ + + ++ + + ++ + + +


368. Tnh

1

0

dx

1 x x 1+ + ++ + ++ + ++ + +


369. Tnh

(((( ))))3

6

sinx 3 cosx dx

sin3x 3sin x3

pipipipi

pipipipi

pipipipi+ ++ ++ ++ +


370.

Tnh 312

0

sin xdx

3sin4x sin6x 3sin2x

pipipipi




371.

Tnh 32

20

sin xcosxI dx.

1 cos 2x

pipipipi

====

++++


372.

Tnh 4

0

tanx ln(cosx)I dx

cosx

pipipipi


373. Tnh

2e

21

x lnx 1dx

(x lnx 2)

+ + + +

++++


374. Tnh 20

I 2x (1 cos2x)dx.pipipipi


375. Tnh

2

dx

x x x++++


376. Tnh / 2

sin x

0I e dx

pipipipi


377. Tnh 2

cos 2x sin 2x

2

dxI

(2012 1)(2012 1)

pipipipi

pipipipi

====

+ ++ ++ ++ +


378. Tnh

2 x

x1

(x 2)(1 2xe ) 1I dx.

x(1 xe )

+ + ++ + ++ + ++ + +====

++++


379. Tnh

2 2

2

sin x cos x 20

sin2xdx

(e e )

pipipipi

++++


380. Tnh

(((( ))))212

0

x ln x x 1I dx

x 1

+ + ++ + ++ + ++ + +====

++++


381.

Tnh

1

22

40

2x xI dx

(x 1)

====


382.

Tnh

2

4

3

0

( tan x tan x)dx

pipipipi

++++


383. Tnh

2

3

0

cos xdx

sinx 3 cosx

pipipipi

++++


384. Tnh

1 2

20

xdx

x 1++++


385. Tnh 3

2

4

xsin2x ln(sinx)I dx

cos x

pipipipi

pipipipi

++++====


386. Tnh

(((( ))))x xx

e sinx ln ex e cosx lnxI dx

1 e sinx

+ ++ ++ ++ +====

++++


387. Tnh

3 3

0

sin x cos xI dx

3 sin2x

pipipipi ++++====

++++




388.

Tnh 8

4 40

(1 sin4x)cos4xI dx

cos x sin x

pipipipi

++++====


389. Tnh

3

41

x 3I dx

x

++++====


390.

Tnh 34

0

tan xI dx

2 sin2x

pipipipi

====

++++


391.

Tnh 8

4 40

(1 sin4x)cos4xI dx

cos x sin x

pipipipi

++++====


392. Tnh 3

2x 20

tanxdx

e (1 cos x)

pipipipi

++++


393. Tnh 3

2 2

1dx

x 1


394. Tnh

2e

1

x lnxdx

1 lnx

++++


395.

Tnh 6

2

0

x.sinxcos xdx

pipipipi


396. Tnh

5

23

x 3 x 1I dx

(x 1) . x 1

+ + + + + + + +====

+ ++ ++ ++ +


397. Tnh 6

0

dxI

cosx sin(x )6

pipipipi

====

pipipipi++++


398. Tnh

2x

x 2x

x eI dx

x(e e )

====

++++


399.

Tnh 4

0

(sin3x cos3x)dxI

(1 2 sin2x)(1 sin2x)

pipipipi

++++====

+ ++ ++ ++ +


400. Tnh

6

2

dxI

2x 1 4x 1====

+ + ++ + ++ + ++ + +


401. Tnh

x 2

3x0

e cos x 2 cosx sinxI dx.

(e cosx 1)cosx

pipipipi + + + + ====

++++


402. Tnh

12

0

I ln(1 1 x )dx= + = + = + = + http://toanphothong.vn/showthread.php?t=5686

403.

Tnh 6 2

0

tan xI dx

cosx.cos(x )4

pipipipi

====

pipipipi++++



404. Tnh

(((( ))))(((( ))))(((( ))))

x x4

x0

cosx 1 2e x 1 2 sinx xeI dx.

cosx cosx xe

pipipipi

+ + ++ + ++ + ++ + +====

++++


405. Tnh

1 2 2x x

x0

x e (x 1)e 1dx

xe 1

+ ++ ++ ++ +

++++


406. Tnh 1 lnx(3 2 lnx) dx

x(1 2 lnx)

+ ++ ++ ++ +

+ ++ ++ ++ +


407. Tnh 3

2x 20

tanx 1I dx

e (1 cos x)

pipipipi

====

++++


408. Tnh

2

42 20

(sinx cosx)I dx

cos x(sin2x cos x)

pipipipi ++++====

++++


409. Tnh 4

0

sinx cosxdx

3 sin2x

pipipipi ++++

++++


410. Tnh (((( ))))

3 2 22 2

3 2 2

2x x x x 1 1I dx

x x x 1

+ + + ++ + + ++ + + ++ + + +====

+ ++ ++ ++ +


411. Tnh

/ 3

3/ 2

1 1( )dx.

sinxsin x

pipipipi

pipipipi


412. Tnh

e

1

1 lnx lnxI dx

x 1 lnx

====

++++


413. Tnh

3

30

dx

(2x 3)(x 1)+ ++ ++ ++ +


414. Tnh

2

x 1dx

x x 1

++++

+ + + +


415.

Tnh (((( ))))30

I ln 1 3 tanx dx

pipipipi


416. Tnh

1 3 2

20

x 2x 10x 1I dx

x 2x 9

+ + ++ + ++ + ++ + +====

+ ++ ++ ++ +


417. Tnh

3

35

4

sin 2xI dx

cos x

pipipipi

pipipipi====


418. Tnh

3 34

0

2x.cosx sinx x.cos x sin xI dx

x.sinx cosx

pipipipi

+ + + + ====

++++


419. Tnh

(((( ))))x x2x

1

e x lnx 1 xe lnxI dx

1 x.e

+ + ++ + ++ + ++ + +====

++++




420.

Tnh 4

0

dxI

cosx 2 sin2x

pipipipi

====

++++


421. Tnh (((( ))))ln 2 2x x

0

I e 1 e dx= = = = http://toanphothong.vn/showthread.php?t=6427

422. Tnh

2

3

6

x tanx x tanxdx

x tanx x tanx

pipipipi

pipipipi

++++ ++++


423.

Tnh 6

0

I tanx tan x dx4

pipipipi

pipipipi= += += += +


424. Tnh 32

0I sinx.cos5x. 1 cos xdx

pipipipi


425. Tnh 2

30

sinxdxI

(sinx 3 cosx)

pipipipi

====

++++


426. Tnh 3

6

tanx. ln(sinx)dx

sinx

pipipipi

pipipipi


427.

Tnh 2

2 sin x

0

xI (2cos xcosx)e dx

2

pipipipi


428. Tnh

x4

2x1

1 x edx

4x xe

++++++++


429. Tnh

2

0

xI (x 2) dx

4 x= = = =


430. Tnh 3

24

tgxdx

cosx 1 cos x

pipipipi

pipipipi++++


431. Tnh (((( ))))2 22

4

sin x 2x cot xdxpipipipi

pipipipi


432.

Tnh (((( ))))2

30

sinxdx

sinx 3 cosx

pipipipi

++++


433.

Tnh

2

2

0

cos x8

I dxsin2x cos2x


====

++++


434. Tnh

22

41

2 4 xI dx

3x


435. Tnh

ln 2

x x0

xI dx

e e 2====

+ ++ ++ ++ +




436. Tnh

2

42

4

x sinx 1I dx

1 2cos x

pipipipi

pipipipi

++++====

++++


437. Tnh

122

0(x 1) 1 2x dx+ + + +


438.

Tnh 24

(x )(1 sin2x)dx4I .1 sin2x

pipipipi

pipipipi

pipipipi

====

++++


439. Tnh 0

2

2

sin2xdx

(2 sinx)pipipipi ++++


440. Tnh

1 x

0

xeI dx

x 1====

++++


441. Tnh 2

2

6

1dx

sin x

pipipipi

pipipipi


442. Tnh

(((( ))))41

ln x 1dx

x x

++++

++++


443. Tnh (((( ))))2

4

ln 1 cotx dxpipipipi

pipipipi++++


444. Tnh (((( ))))

1

20 2

4x 3dx

x x 1

++++

+ + + +


445. Tnh (((( ))))3 4 4sin4x sin x cos x 6 dx.+ ++ ++ ++ + http://toanphothong.vn/showthread.php?t=7426

446. Tnh 4 1x x dx

x x

+ ++ ++ ++ +


447. Tnh cos2x dx

sinx cosx++++


448. Tnh

2

xdx

x 2++++


449. Tnh 4I tan xdx==== http://toanphothong.vn/showthread.php?t=7374

450. Tnh xI 2x(x x 1)dx= + = + = + = + http://toanphothong.vn/showthread.php?t=7297

451. Tnh

1 23

20

4 xI x ln dx

4 x

==== ++++


452. Tnh 3

2

6

1 3 tanxI dx.

sin x

pipipipi

pipipipi

++++====


453. Tnh

3 32

51

2 2 xI dx

3x




454. Tnh

e 2

1

x lnx 1I dx.

x(1 x lnx)

++++====

++++


455. Tnh

ln 3 x

2x 2x0

edx.

(1 e ) 1 e+ ++ ++ ++ +


456.

Tnh 2

0

cos2xI dx

5cosx 3

pipipipi

====

++++


457.

Tnh 3 3

0

(2x 3)sin4x tan xdx

cosx

pipipipi

+ ++ ++ ++ +


458. Tnh 2

0 2

cos2x cosx 2I dx

1 cosx cosx cos x

pipipipi + ++ ++ ++ +====

+ + + + + + + +


459. Tnh

(((( ))))(((( ))))

x 2 x2

22 x

1

2 1 xe x eI dx

x 2 xe

+ ++ ++ ++ +====

++++


460.

Tnh 3

40

sinx(x 1)I dx

cos x

pipipipi

++++====


461. Tnh

x

4

6

(2 sin2x)edx

1 cos2x

pipipipi

pipipipi

++++

++++


462. Tnh

2

dx

x ln(x 1)


463. Tnh

2 3

3 21

2xI dx

1 x 1====

+ + + +


464. Tnh

e 2012 2013

20141

ln x ln x lnxdx

x

+ + + +


465. Tnh (((( ))))

1

nn n0

dxI

1 x 1 x====

+ ++ ++ ++ +


466.

Tnh 4

20

tanx x 1dx

cos x

pipipipi

+ + + +


467.

Tnh 2

2 20

sinxdx

xsin x 2 cosx.cos

2

pipipipi

++++


468.

Tnh 6

0

sinxdx

2cos2x

pipipipi


469.

Tnh 2

2 2

0

[cos (cosx) sin (sinx)]dx

pipipipi




470. Tnh

(((( ))))02

1

x ln x 2dx

4 x

++++


471. Tnh

2

4

36

cos xdx

sin x.sin x4

pipipipi



472. Tnh

(((( )))) (((( ))))x x x x1x x

0

e e 3 e e 2 2I dx

e e

+ + + ++ + + ++ + + ++ + + +====

++++


473. Tnh

4

23

dx

(x 1)(x 2)(x 3)


474. Tnh

2 2

61

x(x 1)dx

x 1

++++


475. Tnh

e 2

21

x (1 lnx) 1I dx

(x lnx)

+ ++ ++ ++ +====

++++


476. Tnh (((( ))))3

4

tanx cotx dxpipipipi

pipipipi++++


477. Tnh (((( )))) (((( ))))

2e

1

I sin lnx cos lnx dx

pipipipi


478. Tnh

2

2

0

sin xcosxdx

sinx cosx

pipipipi

++++


479.

Tnh 3

3 20

sinxdx

3cos x sin xcosx

pipipipi

++++


480. Tnh

(((( ))))(((( ))))

x2

2x

1

x 1 e lnx 1I dx.

x lnx e

+ + ++ + ++ + ++ + +====

++++


481. Tnh 1

3 3

0x 1 x dx++++


482. Tnh 4

6

sin3x sin4xI dx

tanx cot2x

pipipipi

pipipipi====

++++


483. Tnh

2

x 22

dxI .

(e 1)(x 4)

====

+ ++ ++ ++ +


484. Tnh

1 2

x 4 21

x 1I dx.

(e 1)(x x 1)

++++====

+ + ++ + ++ + ++ + +


485. Tnh (((( ))))

1 2x xln 3

21 2x 2x x xln 32

e e 1I dx.

e e 1 2e e

+ ++ ++ ++ +====

+ + ++ + ++ + ++ + +


486. Tnh

2e

2e

1 1I dx

lnxln x

= = = =




487. Tnh

1 4

21 2 3

2

xI dx

(x 1)====


488. Tnh

1

x0

1dx

e x++++


489.

Tnh 4

0

cos x4

I dx4 3sin2x

pipipipi pipipipi

====


490.

Tnh (((( ))))6 40

I tan2x tan x 1 dx

pipipipi


491. Tnh 2

3

x(1 cosx)I dx

sinx(x sinx)

pipipipi

pipipipi

++++====

++++


492. Tnh sinxdx

2 sin2x++++


493. Tnh 1

2

0I x 1 3x dx.= += += += +


494. Tnh

21

30 3

xdx

1 x++++


495. Tnh

3

1

1 2 4

3

1 1I dx.

x x

= += += += +


496. Tnh

x x

x x

2 .3

9 4


497. Tnh

1

1

2 xcosx ln dx

2 x++++


498. Tnh

1

1

2 xcosx ln dx

2 x++++


499. Tnh

22

2 2

x dxI

x 1====


500.

Tnh 3

30

sinx(x 1)I dx

cos x

pipipipi

++++====


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500 Bai Tich Phan