Question Number 175669 by infinityaction last updated on 04/Sep/22
![∫(([cos^(−1) x{(√((1−x^2 )))}]^(−1) )/(log_e {1+(((sin[2x(√((1−x^2 ))) ])/π) }))dx](https://www.tinkutara.com/question/Q175669.png)
$$\:\:\int\frac{\left[\mathrm{cos}^{−\mathrm{1}} {x}\left\{\sqrt{\left(\mathrm{1}−{x}^{\mathrm{2}} \right)}\right\}\right]^{−\mathrm{1}} }{\mathrm{log}_{{e}} \left\{\mathrm{1}+\left(\frac{\mathrm{sin}\left[\mathrm{2}{x}\sqrt{\left(\mathrm{1}−{x}^{\mathrm{2}} \right)}\:\right]}{\pi}\:\right\}\right.}{dx} \\ $$