Question

Integrate

Answer 1

\[\LARGE \int\limits_0 ^\frac{\pi}{2} \frac{x}{\sin x+\cos x}dx\]

Answer 2

\[\LARGE I= \int\limits_0^\frac{\pi}{2} \frac{\frac{\pi}{2}-x}{\sin x+\cos x}dx\]
adding ..
\[\LARGE I=\frac{\pi}{2} \int\limits_0^\frac{\pi}{2}\frac{1}{\sin x+\cos x}dx\]

Answer 3

what next? if im correct

Answer 4

@hartnn