求不定积分 ∫√x(x-3 )dx,

问题描述:

求不定积分 ∫√x(x-3 )dx,

答:
∫ √x(x-3) dx
=∫ x^(3/2)-3x^(1/2) dx
=(2/5)x^(5/2)-3*(2/3)x^(3/2)+C
=0.4x^(5/2)-2x^(3/2)+C