定积分在区间[0,π/2]∫[1/1+(tanx)^√2]dx
问题描述：
定积分在区间[0,π/2]∫[1/1+(tanx)^√2]dx
答
注意一个结论：∫[0,π/2] f(sinx)dx=∫[0,π/2] f(cosx)dx（定积分换元法那里的一道例题）则 ∫[0,π/2] f(sinx)dx=1/2[∫[0,π/2] f(sinx)dx+∫[0,π/2] f(cosx)dx]∫[0,π/2][1/1+(tanx)^√2]dx=∫[0,π/2][(co...