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Math Help - Integration

  1. #1
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    Integration

    Prove \int tan^{n-2}\theta sec^2 \theta d\theta = \frac{1}{n-1} tan^{n-1} \theta + c
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  2. #2
    MHF Contributor Amer's Avatar
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    let \displaystyle u= tan \theta

    \displaystyle du = \sec ^2 \theta d\theta
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  3. #3
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    sorry how does that help?
    u^{n-2}sec^4\theta
    im stupid
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  4. #4
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    e^(i*pi)'s Avatar
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    You have made the wrong sub, instead you can use the sub Amer made to get rid of sec^2(theta) and have an integral purely in terms of u

    \displaystyle \int  u^{n-2} du
    Last edited by e^(i*pi); March 9th 2011 at 12:23 PM. Reason: made a mistake myself
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  5. #5
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    ok i made a mistake.
    never mind
    i've got it.
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