求不定积分∫√x/(x^3/4+1)dx等于多少?

来源:学生作业帮助网 编辑:作业帮 时间:2024/11/28 15:22:23
求不定积分∫√x/(x^3/4+1)dx等于多少?
x){Ɏާf=_iGۣՏ:fUQgom~OgJOv=]2醉6IEd/!F” }8 JMmCM&P>"cE D T<R]L1 9y5pE56yvp l

求不定积分∫√x/(x^3/4+1)dx等于多少?
求不定积分∫√x/(x^3/4+1)dx等于多少?

求不定积分∫√x/(x^3/4+1)dx等于多少?
∫√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