∫f(x)dx=F(x)+c, 则∫xf(1-x²)]dx=?

问题描述:

∫f(x)dx=F(x)+c, 则∫xf(1-x²)]dx=?

∫xf(1-x^2)dx=(-1/2)*∫f(1-x^2)d(1-x^2)
=(-1/2)F(1-x^2)+c