1. 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

2. Re: Integration by parts

yeah all you've done is plugged in the limits for your g, you're good