=arcsin(2x-1)+C方法如下,请作参考,祝学习愉快:
令 x = sin²θ。则 θ = arcsin(√x)。dx = 2sinθcosθdθ dθ。那么,原不定积分变换为:=∫2sinθcosθdθ/(sinθcosθ)=2∫dθ=2θ + C=2arcsin(√x) + C