Question

What is the antiderivative of `x/(x+1)`?

Answer 1

`x-ln(1+x)+C`

Explanation:

`int x/(1+x)dx`

`=int(x+1-1)/(1+x)dx`

`=int(x+1)/(x+1)-1/(x+1)dx`

`int1-1/(1+x)dx=x-ln(1+x)+C`