Science

Math

Humanities

... and beyond

Socratic Meta
Featured Answers

Topics

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

1 Answer

Konstantinos Michailidis

Mar 10, 2016

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#

Related questions

See all questions in Integration by Parts

Impact of this question

1526 views around the world

You can reuse this answer
Creative Commons License