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Math Help - Integral of Ln(Sinx)/Sinx

  1. #1
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    Question Integral of Ln(Sinx)/Sinx

    Hi . What should am I Do With this Integral .
    I have working on it for hours . but i can't find the way .

    <br />
   Integral of Ln(sin(x)) / sin(x)<br />
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  2. #2
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    Quote Originally Posted by parkhid View Post
    Hi . What should am I Do With this Integral .
    I have working on it for hours . but i can't find the way .

    <br />
Integral of Ln(sin(x)) / sin(x)<br />
    its integration has unelementary function:
    integrate ln(sinx) / sin(x) - Wolfram|Alpha

    Do you post all informations of your problem?
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  3. #3
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    yes. this links has solved the integral by semi numbers.

    any other ideas ?
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  4. #4
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    Quote Originally Posted by parkhid View Post
    yes. this links has solved the integral by semi numbers.

    any other ideas ?
    Please answer the question asked in post #2 otherwise no further progress can be made.
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  5. #5
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    Quote Originally Posted by parkhid View Post
    Hi . What should am I Do With this Integral .
    I have working on it for hours . but i can't find the way .

    <br />
   Integral of Ln(sin(x)) / sin(x)<br />
    I am not good in maths but i suppose it can be done by

    Let v=log(sinx)
    \frac{dv}{dx}=\frac{1}{sinx}
    dv . sinx = dx

    Substitute and integrate...
    Last edited by mr fantastic; January 10th 2010 at 04:14 PM. Reason: Restored original post because it got an instructive reply from a galactus,
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  6. #6
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    The derivative of ln(sin(x))=\frac{1}{tan(x)}

    \int\frac{ln(sin(x))}{sin(x)}dx

    An indefinite form for this is hard to come by. Parts, substitution, etc will not work too well.
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  7. #7
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    Quote Originally Posted by galactus View Post
    The derivative of ln(sin(x))=\frac{1}{tan(x)}

    \int\frac{ln(sin(x))}{sin(x)}dx

    An indefinite form for this is hard to come by. Parts, substitution, etc will not work too well.
    So What should am i do ? It has been solved by poly logarithmic functions.
    but isn't there any way ?
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  8. #8
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    Quote Originally Posted by parkhid View Post
    So What should am i do ? It has been solved by poly logarithmic functions.
    but isn't there any way ?
    Quote Originally Posted by mr fantastic View Post
    Please answer the question asked in post #2 otherwise no further progress can be made.
    Nothing can be done until you answer the question in post #2. This is the third time you've been asked.
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