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

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Answer 1 · 2016-03-10T17:29:39

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

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

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

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