Welcome :: Homework Help and Answers :: Mathskey.com
Welcome to Mathskey.com Question & Answers Community. Ask any math/science homework question and receive answers from other members of the community.

13,459 questions

17,854 answers

1,446 comments

805,839 users

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

Related questions

asked Jul 6, 2015 in CALCULUS by anonymous
asked May 3, 2015 in CALCULUS by anonymous
asked Dec 20, 2014 in CALCULUS by anonymous
asked Nov 28, 2014 in CALCULUS by anonymous
asked Nov 27, 2014 in CALCULUS by anonymous
asked Nov 23, 2014 in CALCULUS by anonymous
asked Nov 22, 2014 in CALCULUS by anonymous
asked Nov 19, 2014 in CALCULUS by anonymous
asked Nov 13, 2014 in CALCULUS by anonymous
asked Oct 28, 2014 in CALCULUS by anonymous
asked Oct 26, 2014 in CALCULUS by anonymous
asked Oct 25, 2014 in CALCULUS by anonymous
asked Jun 17, 2017 in CALCULUS by anonymous
...