Question

急，哪位大神帮忙回答下这道证明题

Answer 1

=∫3√((x+1)/(x-1))/(x+1)(x-1)dx =1/2∫(x+1)^(1/3)(x-1)^(-4/3)-(x+1)^(-2/3)(x-1)^(-1/3)dx =-3/2∫(x+1)^(1/3)d(x-1)^(-1/3)-3/2∫(x-1)^(-1/3)d(x+1)^(1/3) =(-3/2)(x+1)^(1/3)(x-1)^(-1/3)+C =(-3/2)3√((x+1)/(x-1))+C

追问

这是基础上的题，能不能用求导的方法来证明，这个看不太懂，谢谢大神！

Answer 2

3、辛弃疾《青玉案》众里寻他千百度，蓦然回首，那人却在，灯火阑珊处。正所谓