求ln^3(x+1)/(x+1)dx的不定积分,

Question

求ln^3(x+1) /(x+1)dx的不定积分,

Answer 1

原式=∫ln³(x+1)/(x+1)d(x+1)
=∫ln³(x+1)dln(x+1)
=(1/4)ln^4(x+1)+C