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Integration Problem

0 votes

Solve step by step using trigonometric substitution.

asked Dec 23, 2014 in CALCULUS by anonymous

1 Answer

0 votes

The function is image.

Consider image

Apply derivative on each side.

image

Substitute image and image in the function.

image

Pythagorean identity : image.

image

image

Double angle identity : image.

image

image

image

We know that, if image, then

image

Substitute the valuesimage.

image

image.

Therefore, image image.

answered Dec 23, 2014 by lilly Expert

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