Question

求下列不定积分

求下列不定积分最好有图片，谢谢

Answer 1

(1)
∫x^2.√x dx
=∫x^(5/2) dx
=(2/7)x^(7/2) + C
(2)
∫ (x-1)^3/x^2 dx
=∫ (x^3-3x^2+3x-1)/x^2 dx
=∫ [ x-3 +3/x -1/x^2 ]dx
= (1/2)x^2 -3x +3ln|x| + 1/x + C