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 Post subject: A definite Integral
PostPosted: 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 Integral
PostPosted: Tue Jun 19, 2018 7:20 pm 

Joined: Sat Nov 14, 2015 6:32 am
Posts: 150
Location: Melbourne, Australia
Are you sure about the upper limit? Should not it be $\frac{\pi}{2}$ ?

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


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 Post subject: Re: A definite Integral
PostPosted: 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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