Question

求微积分x/(1+x)的3次方

Answer 1

∫ x/(1+x)³ dx

= ∫ [ 1/(x+1)² - 1/(x+1)³ ] dx

= - 1/(x+1) + 1/[2(x+1)²] +C

= (1-2x) / [2(x+1)²] +C