Question

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

Answer 1

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

Explanation:

`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`