Integral of ln(sinx) from 0 to pi/3

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Integral of ln(sinx) from 0 to pi/3, is a little bit hard integral to integrate, however In this video I evaluated it by using 2 different method. First I used Fourier series for ln(sinx) and second time I used Lobachevski function.
In previous videos I evaluate Integral ln(sinx) from 0 to pi/2 and integral ln(sinx) from 0 to pi/4 so, I thought to create a content for integrate Integral of ln(sinx) from 0 to pi/3.

Integration of lnsinx from 0 to pi/3 | Integration | ln(sinx) integral | Integrals | Hard Integral

#Integration #lnSinx #Math
  1. Mathematics MI
  2. integration of ln(sinx) from 0 to pi/3
  3. integration of ln sinx
  4. integration of ln sinx dx
  5. ln sinx
  6. ln sinx integral
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Комментарии
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This is amazing.... great great great job... first time I saw this in YouTube or any other social media.. also I couldn’t find this integral in any book...Thank you very much.. really appreciate.. ❤️

michellanderson
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Another interesting one. Previous days I watch some of your videos. Amazing keep it up..Thank you

RadhaSharma-jwux
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From fourier series to polygamma function, outstanding derived!

王天祥-ji
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Great!
can you provide a reference relating trigamma function and clausen function?

carlosgiovanardi
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Hey can't we use complex definition of sinx it will also a elegant solution

gopimaji
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"Fourier series of ln(sin(x)) is equal to..." Where would we find this out? I have never thought of taking the Fourier series of the logarithm. I can see it's a periodic function, but I wouldn't know how to reduce it to a series.

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