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Math Help - Hard integral

  1. #1
    Newbie
    Joined
    Mar 2010
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    Hard integral

    I didn't success to solve the intgral of this function
    x(cos(x))/((sin(x))^3) dx
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  2. #2
    MHF Contributor
    Joined
    Apr 2008
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    1,092
    Start by integrating by parts:

    u = x

    du = dx

    dv = \frac{\cos x}{\sin^3 x} dx

    v = -\frac{1}{2 \sin^2 x}

    \int \frac{x \cos x}{\sin^3 x} dx = -\frac{x}{2 \sin^2 x} + \int \frac{1}{2 \sin^2 x} dx
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  3. #3
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    wow, thanks
    I didn't think about it.
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