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    Hello, looking for a pointer on a trigonometry integration question.

    Question, integrate (cot(x))^2

    So far, I've tried splitting it into cos/sin and using identities to split it up, but so far all that's got me is,

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

    I can't see any way to move forward from there, and all other methods I've tried have left me in more complicated situations than I started with.

    Am I missing something obvious?
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    Identity:  \cot^2 A + 1 = \csc^2 A

    Also: what is the derivative of cot(x)?
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    Aha, thanks very much. I completely forgot about that identity.

    So that would make the answer -cotx-x+c.
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    (Original post by cryptopian)
    Aha, thanks very much. I completely forgot about that identity.

    So that would make the answer -cotx-x+c.
    That looks right :smile:
 
 
 
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