What is $int (x)/(x+1)^3 dx$ ?

Mar 3, 2018

$int x/(x+1)^3 dx = -1/(x+1)+1/(2(x+1)^2)+C$

$int x/(x+1)^3 dx = int 1/(x+1)^2-1/(x+1)^3 dx$

$color(white)(int x/(x+1)^3 dx) = -1/(x+1)+1/(2(x+1)^2)+C$

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