Question

Integrate dx/(sinx+cosx)

Answer 1

\[\int\limits \frac{ dx }{ \sin(x) + \cos(x) }\]

Answer 2

\[z=\tan(\tfrac{1}{2}x)\quad\sin x=\frac{2z}{1+z^2}\quad\cos x=\frac{1-z^2}{1+z^2}\quad dx=\frac{2dz}{1+z^2}\]