# Trigonometric substitution and Integrals

• September 9th 2012, 10:32 AM
Preston019
Trigonometric substitution and Integrals
I'm having a really hard time integrating:

∫ (e^(t))⋅(1+e^(2t))^(1/2)

I'm supposed to use Trig substitution to solve this and I'm not sure where to go from here.
Could someone please explain the steps?
• September 9th 2012, 10:54 AM
skeeter
Re: Trigonometric substitution and Integrals
Quote:

Originally Posted by Preston019
I'm having a really hard time integrating:

∫ (e^(t))⋅(1+e^(2t))^(1/2)

I'm supposed to use Trig substitution to solve this and I'm not sure where to go from here.
Could someone please explain the steps?

try the substitution ...

$e^t = \tan{u}$