求积分∫1/根号下(2-3x^2)dx
问题描述：
求积分∫1/根号下(2-3x^2)dx
答
∫1/√(2-3x^2) dx
let
x =√(2/3) .siny
dx = √(2/3) cosy dy
∫1/√(2-3x^2) dx
=∫√(2/3) cosy dy/(√2 cosy)
=(1/√3)∫dy
= (1/√3) y + C
=(1/√3) arcsin(√3x/√2) + C(√2 cosy)这个是？？？怎么得出来的？谢谢！√(2-3x^2) = √[2-2(siny)^2] = √2. cosy