# Evaluate the definite integral

1. Sep 1, 2011

### crybllrd

1. The problem statement, all variables and given/known data
$\int^{\frac{\pi}{4}}_{0}\frac{1+cos^{2}(x)}{cos^{2}(x)}$

2. Relevant equations

3. The attempt at a solution

I tried u-sub, splitting it up into 2 fractions, and a trig identity (cos^2x=(1+cos2x)/2).
Am i missing something? The other problems were quite easy.

2. Sep 1, 2011

### micromass

Staff Emeritus
What did you get if you split it up in two fractions? Why didn't it work?

3. Sep 1, 2011

### crybllrd

I got two fractions, 1/cos^2(x) and cos^2(x)/cos^2(x)=1

I wasn't sure how to integrate the 1/cos^2(x)

4. Sep 1, 2011

### micromass

Staff Emeritus
5. Sep 1, 2011

### crybllrd

Wow, see what happens when I take a summer off?
Thanks a lot.