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 Post subject: A definite IntegralPosted: Fri Jun 15, 2018 7:55 pm

Joined: Tue May 10, 2016 3:56 pm
Posts: 33
Evaluate
$$\int_0^{\pi/2}\,\frac{x}{\sin x}\,\log(1 - \sin x)\,dx.$$

Last edited by mathofusva on Wed Jun 20, 2018 2:11 pm, edited 1 time in total.

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 Post subject: Re: A definite IntegralPosted: Tue Jun 19, 2018 7:20 pm

Joined: Sat Nov 14, 2015 6:32 am
Posts: 159
Location: Melbourne, Australia
Are you sure about the upper limit? Should not it be $\frac{\pi}{2}$ ?

_________________
$\displaystyle \sum_{n=1}^{\infty}\frac{1}{n^s}= \prod_{p \; \text{prime}}\frac{1}{1-p^{-s}}$

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 Post subject: Re: A definite IntegralPosted: Wed Jun 20, 2018 2:11 pm

Joined: Tue May 10, 2016 3:56 pm
Posts: 33
Thanks, Riemann. The Upper limit should be $\pi/2$.

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