SCHWEITZER 1949 Problem 2

Compute $\lim_{n\rightarrow \infty} \int_{0}^{\pi} \frac {\sin{x}}{1 + \cos^2 nx}dx$ .

Dataset text AI-MO AoPS. Quoted with source.

Solutions

No solution is on olymmath yet. Official and human solutions come first when they arrive. AI solutions come after them, with a label.