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Math Help - How the heck do I integrate this?

  1. #1
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    How the heck do I integrate this?

    I just got done taking a midterm from . Anyway, I managed to at least start most of the problems but this one just blew me away. I tried using some identities, etc. to make it look less evil but was not able to.

    Last edited by topsquark; May 23rd 2008 at 01:10 PM.
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  2. #2
    Eater of Worlds
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    One way is to use parts.

    Let u=x, \;\ dv=csc^{2}(2x)dx, \;\ du=dx, \;\ v=\frac{-1}{2}cot(2x)dx

    \frac{-1}{2}xcot(2x)+\frac{1}{2}\int{cot(2x)}dx

    Take note that \int{cot(u)}dx=ln|sin(u)|+C
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