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Evaluate the definite integral

  • Thread starter crybllrd
  • Start date
  • #1
120
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Homework Statement


[itex]\int^{\frac{\pi}{4}}_{0}\frac{1+cos^{2}(x)}{cos^{2}(x)}[/itex]

Homework Equations





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.
 

Answers and Replies

  • #2
22,097
3,278
What did you get if you split it up in two fractions? Why didn't it work?
 
  • #3
120
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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
120
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Wow, see what happens when I take a summer off?
Thanks a lot.
 

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