Solving integral $\int\frac{\sin x}{1+x\cos x}dx$ How I can find the anti-derivative?
$$\int\frac{\sin x}{1+x\cos x}dx$$

Sorry for “cheating”, but it is as it seems: Wolfram|Alpha states it is not solvable “in terms of standard mathematical functions” (which should then be true).
http://www.wolframalpha.com/input/?i=%E2%88%ABsinx%2F%281%2Bxcosx%29dx
Are you sure this is the correct integral?
