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Math Help - integral help please?

  1. #1
    Newbie
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    Sep 2009
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    integral help please?

    can someone help me find the integral of sec cubed/tan?
    I would really appreciate it!
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  2. #2
    Member
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    \int\frac{sec^3\theta}{tan \theta}d\theta

    You can convert secant and tangent into sines and cosines.

    \int\frac{\frac{1}{cos^3\theta}}{\frac{sin\theta}{  cos\theta}}d\theta

    =\int\frac{cos\theta}{sin\theta * cos^3\theta}d\theta

    =\int\frac{1}{sin\theta*cos^2\theta}d\theta

    =\int sec^2\theta*csc\theta d\theta

    can you take it from there, you do it by parts.
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  3. #3
    Super Member redsoxfan325's Avatar
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    Swampscott, MA
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    Use u=\csc\theta and dv=\sec^2\theta\,d\theta
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  4. #4
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    thank you so much!
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