Question

反三角函数如何求值

计算中出现的反三角函数，如何计算？请详细告知，谢谢

Answer 1

I = 3*S(0,1) (1 / (1+x^2))dx - 2*S(0,1) (1/sqrt(1-x^2))dx
= 3(arctan 1 - arctan 0) - 2(arcsin 1 - arcsin 0)
= 3 pi/4 - 2pi/2
= - pi / 4