## anonymous 5 years ago Integration

1. anonymous

$\int\limits_{-\pi}^{\pi}(\cos ^{2}x /1+a ^{x})dx, (a>0)$

2. anonymous

3. anonymous

oh >_< I didn't see it lol, my bad

4. anonymous

hmmm, I'm not sure. It's my first time to see such an integration problem, but it looks like it can be solvable by using partial fractions?

5. anonymous

lol i got no idea.. i thought about using some definite integral properties but i guess it will just mess it up.. so.. you give it a try..see how it works out... the answer is $\pi/2$