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32. 1101/6 Techniques of Integration Lab

1.What are the trigonometric substitutions for the following?

a) 1 x2 x

b) 1 x2 x

c) x2 1 x

2.Evaluateddx

cos1x

ddx

sin1x

ddx

tan1x

ddx

sec1x

ddx

csc1x

ddx

cot1x

3.What are the domain and range for the following

Domain Range

y cos1x

y sin1x

y tan1x

4.Evaluate

a) x3x26x

2dx e) 1

x2 16x29dx

b) 1xx2x1 dx f) ddx cos1 2x 1

c) ddx

x2 cot13x g)x2 cos3xdx

d)x2 ln|x|dx

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32.1101/6 Calculus

Techniques of Integration

Lab Solutions

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