求不定积分∫xf(x2)f'(x2)dx=?
问题描述:
求不定积分∫xf(x2)f'(x2)dx=?
答
∫xf(x^2)f'(x^2)dx
=(1/2)∫f(x^2)f'(x^2)dx^2
=(1/2)∫f(x^2)df(x^2)
=(1/4)[f(x^2)]^2+C