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Homework Help: Evaluate the definite integral

  1. Sep 1, 2011 #1
    1. The problem statement, all variables and given/known data
    [itex]\int^{\frac{\pi}{4}}_{0}\frac{1+cos^{2}(x)}{cos^{2}(x)}[/itex]

    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. jcsd
  3. Sep 1, 2011 #2
    What did you get if you split it up in two fractions? Why didn't it work?
     
  4. Sep 1, 2011 #3
    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)
     
  5. Sep 1, 2011 #4
  6. Sep 1, 2011 #5
    Wow, see what happens when I take a summer off?
    Thanks a lot.
     
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