# Integration by parts

• Nov 21st 2011, 05:40 AM
james121515
Integration by parts
Suppose routine integration by parts yields:

$\int f(x)\,dx = g(x) + \int h(x)\,dx + C$

Where $h$ does not necessarily have an antiderivate.

Then is it correct to assume that $\int_a^b f(x)\,dx = g(b)-g(a) + \int_a^bh(x)\,dx$?

Thanks for any help.
James
• Nov 22nd 2011, 03:21 PM
MonroeYoder
Re: Integration by parts
yeah all you've done is plugged in the limits for your g, you're good