# Integral involving trig substitution

• Nov 27th 2009, 04:01 PM
Shapeshift
Integral involving trig substitution
Here is the question:

http://www.webassign.net/cgi-bin/sym...%28%20%29dx%20

I have been trying so long and I still cannot seem to get it.

Any help is appreciated.
• Nov 27th 2009, 04:32 PM
mr fantastic
Quote:

Originally Posted by Shapeshift
Here is the question:

http://www.webassign.net/cgi-bin/sym...%28%20%29dx%20

I have been trying so long and I still cannot seem to get it.

Any help is appreciated.

See here: - Wolfram|Alpha

Be sure to click on Show steps.
• Nov 27th 2009, 04:36 PM
RockHard
If you recall the identity $tan^2\theta + sec^2\theta = 1$ More so

In this case let $x = 5 tan\theta$ and $dx = 5sec^2\theta$

can you take it from here? Also with definite integrals remember to change your limits of integration properly