show-that-pi-4-pi-4-sin2x-2-cos2x-2-ln-1-e-x-dx-pi-16-pi-3-36-

Question Number 91630 by Ar Brandon last updated on 02/May/20

show that

\int_{- \frac{π}{4}}^{\frac{π}{4}} \frac{\sin 2 x}{{(2 + \cos 2 x)}^{2}} \ln (1 + e^{x}) dx

= \frac{π}{16} - \frac{π \sqrt{3}}{36}

Commented by Ar Brandon last updated on 02/May/20

Hint : Let x = - u