Thread: Integration by Parts Check

Just learning these and I wanted to make sure I did this right.

I'm finding the integral of 2x(e^x) in case it's not clear.

Let me know. Thanks.

snapshot of work:

Looks good. I'd suggest getting into the habit of factoring answers, but it doesn't actually matter here. Also, as this is indefinite integration, you need to remember the +C constant at the end.

You could always differentiate your answer. If it matches the original integrand, then your answer is correct.