Posted by haifeng on 2015-01-12 20:56:34 last update 2015-01-12 20:56:34 | Answers (1) | 收藏
设 $0\leqslant x\leqslant\frac{\pi}{2}$,
\[ f(x)=\int_0^{\sin^2 x}\arcsin\sqrt{t}dt+\int_0^{\cos^2 x}\arccos\sqrt{t}dt, \]
求 $f(x)$.
