Make a substitution to express the integrand as a rational function and then evaluate the integral. (Picture included)

Question

anonymous · Answer

I just need to know what to substitute... my first instinct is e^(2x) but idk

anonymous · Answer

the questin is in the picture. sorry. i just want a hint on what to substitute. and Why you would pick that substitution.

anonymous · Answer

substitute u = e^x

anonymous · Answer

oh and this is an integration by partial fraction method

anonymous · Answer

okay thanks guys!

bahrom7893 · Answer

use e^x.. imo

bahrom7893 · Answer

actually no, u were right

anonymous · Answer

why though? my first instinct was e^(2x) cus it occured twice..but i'm affraid that seems to obvioius and this might be a tricky question.

anonymous · Answer

pardon my spelling

bahrom7893 · Answer

u = e^(2x)
du = (1/2)e^(2x)
You want to get the e^(2x) that's on top

bahrom7893 · Answer

hmm no, use u=e^x. I don't like the fact that e^x will become sqrt(u) on the bottom

bahrom7893 · Answer

typo:
|dw:1331507706553:dw|