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Math Help - find the integral

  1. #1
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    find the integral

    im supposed to integrate this but im not sure how.

    ∫▒〖sin⁡x/(1+〖cos〗^2 x) dx〗. not sure if it showed up right or not, its supposed to read as the integral of sin x/(1 + cos^2 (x)). i thought about using the double angle identities but i still couldn't get rid of the sin x in the numerator. thx in advance.
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  2. #2
    is up to his old tricks again! Jhevon's Avatar
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    Quote Originally Posted by slapmaxwell1 View Post
    im supposed to integrate this but im not sure how.

    ∫▒〖sin⁡x/(1+〖cos〗^2 x) dx〗. not sure if it showed up right or not, its supposed to read as the integral of sin x/(1 + cos^2 (x)). i thought about using the double angle identities but i still couldn't get rid of the sin x in the numerator. thx in advance.
    substitution: u = \cos x. the integral becomes - \int \frac 1{1 + u^2}~du (do you see why?)

    i suppose you can finish up?
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  3. #3
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    right i see it, dangit i didnt think of that i was going at it the wrong way!!!! geez. ok ok i see the sub so i can finish the problem thanks again.
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