Question

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

Answer 1

The antidervative is `x*ln(1+x)-x+ln(1+x)+c`

Explanation:

The antiderivative of `ln(1+x)` is the integral

#int ln(1+x)dx=int x' *ln(1+x)dx=x*ln(1+x)-int x/(1+x)dx= x*ln(1+x)-int[1-1/[1+x]]dx= x*ln(1+x)-x+ln(1+x)+c#