Attempt to find the indefinite integral:
$$\int \frac{1}{\sin x+\cos x}\, dx$$
WolframAlpha gives an unsatisfactory answer (this is one of the integrals that couldn't give the best answer):
$$(-1-i)(-1)^{\frac{3}{4}}\operatorname{arctanh}\frac{\tan(\frac{x}{2})-1}{\sqrt{2}}+C$$
Substitution also does not appear to work.