# Antiderivative Help!

• April 16th 2009, 04:14 PM
gidget
Antiderivative Help!
I havent done antiderivatives in a while, Im wondering if the antiderivative of

$2/(x^2 + 1)$
is just
$(ln|x^2 + 1|)/x$
Thanks for the help
• April 16th 2009, 04:33 PM
TheEmptySet
Quote:

Originally Posted by gidget
I havent done antiderivatives in a while, Im wondering if the antiderivative of

$2/(x^2 + 1)$
is just
$(ln|x^2 + 1|)/x$
Thanks for the help

Note quite

$\int \frac{2}{x^2+1}dx=2\tan^{-1}(x)$

If you need the detail let me know.

Remember you can always check by taking the derivative and see if you get the original back.
• April 16th 2009, 04:40 PM
gidget
ahhh yes... damnn... thanks for the help!!... thats a newb mistake on my part!