求不定积分 ∫(x-2)的平方/√x dx

问题描述:

求不定积分 ∫(x-2)的平方/√x dx

=∫(x^2-4x+4)*x^(-1/2)dx
=∫[x^(3/2)-4x^(1/2)+4x^(-1/2)]dx
=2x^(5/2)/5-8x^(3/2)/3+8x^(1/2)+C