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

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Answer 1 · 2018-06-05T23:51:05

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

$int x/(1+x)dx$

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

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

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

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