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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!!!
  3. Offline

    Isn't that the definite integral which is possible?

  4. Offline

    Yay for complex numbers.
  5. Offline

    ...umm damn I've completely forgotton all of C4...
  6. Offline

    (Original post by SimonM)
    Isn't that the definite integral which is possible?

    the 'polylogarithm function'?

    I get dibs on the loganomial function
  7. Offline

    Let's not torture him:

  8. Offline

    Similarly, try \int \ln(1+\tan x)\,dx...
  9. Offline

    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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