求不定积分∫√x/（x^3/4+1）dx等于多少?
问题描述：
求不定积分∫√x/（x^3/4+1）dx等于多少?
答
∫√xdx/(x^(3/4)+1)=(2/3)∫d(x^(3/2)/(x^(3/4)+1)=(4/3)∫x^(3/4)d(x^(3/4))/(x^(3/4)+1)=(4/3)∫d(x^(3/4)) -(4/3)∫d(x^(3/4))/(x^(3/4)+1)=(4/3)x^(3/4)-(4/3)ln|x^(3/4)+1|+C