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    (integral) csc x(csc x - cot x)dx
    i'm having problems with this one
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    (Original post by Luiguitony)
    (integral) csc x(csc x - cot x)dx
    i'm having problems with this one
    \displaystyle \csc(x)[\csc(x)-\cot(x)]=\frac{1}{\sin^2(x)}-\frac{\cos(x)}{\sin^2(x)}=\frac{  1-\cos(x)}{\sin^2(x)}

    So... note that \sin^2(x)=1-\cos^2(x), hence you can simplify further.

    Hint if you can't:

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    Difference of two squares, perhaps?
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    and if it is a integral antiderivative?
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    (Original post by Luiguitony)
    and if it is a integral antiderivative?
    Huh?
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    (Original post by RDKGames)
    \displaystyle \csc(x)[\csc(x)-\cot(x)]=\frac{1}{\sin^2(x)}-\frac{\cos(x)}{\sin^2(x)}
    Note that both these terms are easy to integrate (you "should" be able to write down their integrals). So extra simplification might be wasted here.
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    (Original post by DFranklin)
    Note that both these terms are easy to integrate (you "should" be able to write down their integrals). So extra simplification might be wasted here.
    Ah yeah you're right, int of the first one completely slipped me there.
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    (Original post by RDKGames)
    Ah yeah you're right, int of the first one completely slipped me there.
    Its driving me crazy man
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    Answer: tan(x/2) + constant
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    (Original post by Luiguitony)
    Its driving me crazy man
    What is?
 
 
 
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