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Integral of ln (sin x)

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    Could some one tell me how to do the following indefinite integral

    integral { ln (sin x) dx }

    I thought I can do this by integration by parts. But it doesn't seem to work.

  2. Offline

    I remembered seeing this before somewhere and Google was my friend.

    and here:

    You may struggle with an indefinite integral!!!
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    Isn't that the definite integral which is possible?
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    Yay for complex numbers.
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    ...umm damn I've completely forgotton all of C4...
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    (Original post by SimonM)
    Isn't that the definite integral which is possible?
    the 'polylogarithm function'?

    I get dibs on the loganomial function
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    Let's not torture him:
  8. Online

    Similarly, try \int \ln(1+\tan x)\,dx...
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    Thanks for every one who responded. I made a mistake. It was the improper integral, that I needed to find.

    Actually the definite integral I needed to find is integral {ln (t*cos t) dt.}

    I think I should be able to do it now with the above help.

    Thanks for the help again.
  10. Offline

    Thanks for every one for the help. My problem is resolved.


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