kongvp_ppsm_usm_maa101/4_15/16I - 1 -

PUSAT PENGAJIAN SAINS MATEMATIK UNIVERSITI SAINS MALAYSIA

MAA101/4 Calculus for Science Students I

Exercise 5 1. Complete the table below.

( )f x ( )f x dx ( )f x ( )f x dx

0 0 nx ( 1n ) 1nnx

sin x sinh x

cos x cosh x

2csc x 2csch x

2sec x 2sech x

sec tanx x sech tanhx x

csc cotx x csch cothx x

21

1 x 2

11 x+

21

1x

21

1 x+ 2

11 x

1x

xe

xa

[2 marks]

kongvp_ppsm_usm_maa101/4_15/16I - 2 -

2. True or false. State your justification. Suppose that p a b q< < < . If f is differentiable on interval ( , )p q , then f is integrable on interval [ , ]a b .

[1 mark]

Instructions 1. Submit your answer sheet to tutor during your tutorial on 14 or 15 December 2015. 2. Write your name, metric number and group of tutorial. 3. Late submissions will not be tolerated.

eof

PUSAT PENGAJIAN SAINS MATEMATIK

UNIVERSITI SAINS MALAYSIA

MAA101/4 Calculus for Science Students I

Exercise 5

1. Complete the table below.

0

0

(

)

[2 marks]

2. True or false. State your justification.

Suppose that

. If

is differentiable on interval

, then

is integrable on interval

.

[1 mark]

Instructions

1. Submit your answer sheet to tutor during your tutorial on 14 or 15 December 2015.

2. Write your name, metric number and group of tutorial.

3. Late submissions will not be tolerated.

eof

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