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A definite Integral

Posted: Fri Jun 15, 2018 7:55 pm
by mathofusva
Evaluate
$$\int_0^{\pi/2}\,\frac{x}{\sin x}\,\log(1 - \sin x)\,dx.$$

Re: A definite Integral

Posted: Tue Jun 19, 2018 7:20 pm
by Riemann
Are you sure about the upper limit? Should not it be $\frac{\pi}{2}$ ?

Re: A definite Integral

Posted: Wed Jun 20, 2018 2:11 pm
by mathofusva
Thanks, Riemann. The Upper limit should be $\pi/2$.