Integral of Ln(Sinx)/Sinx

**parkhid** · January 10th 2010, 10:03 AM

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

$ Integral of Ln(sin(x)) / sin(x) $

**TWiX** · January 10th 2010, 10:10 AM

Originally Posted by parkhid

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

$ Integral of Ln(sin(x)) / sin(x) $

its integration has unelementary function:
integrate ln(sinx) / sin(x) - Wolfram|Alpha

Do you post all informations of your problem?

**parkhid** · January 10th 2010, 11:04 AM

yes. this links has solved the integral by semi numbers.

any other ideas ?

**mr fantastic** · January 10th 2010, 12:11 PM

Originally Posted by parkhid

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.

**rshekhar.in** · January 10th 2010, 01:39 PM

Originally Posted by parkhid

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

$ Integral of Ln(sin(x)) / sin(x) $

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...

**galactus** · January 10th 2010, 02:18 PM

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.

**parkhid** · January 11th 2010, 12:44 AM

Originally Posted by galactus

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 ?

**mr fantastic** · January 11th 2010, 02:18 AM

Originally Posted by parkhid

So What should am i do ? It has been solved by poly logarithmic functions.
but isn't there any way ?

Originally Posted by mr fantastic

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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