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How to do the integral x / (4-x^2)^2 dx using trig substitution? Steps please!?

0 votes

How to do the integral x / (4-x^2)^2 dx using trig substitution? Steps please!?

asked Feb 11, 2015 in CALCULUS by anonymous
reshown Feb 11, 2015 by goushi

1 Answer

0 votes

Step 1:

The integral is .

Assume .

Differentiate with respect to on each side.

image

Substitute in the integral.

image

Step 2:

image

Replace image with image in equation(1).

image

Solution:

image.

 

answered Feb 12, 2015 by cameron Mentor

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