Answer
$\int2xe^xdx=2xe^x-2e^x+C$
Work Step by Step
We integrate as follows:
$u=2x$
$D(u)=2$
$v=e^x$
$I(v)=e^x$
$\int u·v~dx=u·I(v)-\int D(u)I(v)dx$
$\int2xe^xdx=2xe^x-\int 2e^xdx=2xe^x-2e^x+C$
Finite Math and Applied Calculus (6th Edition)
by Waner, Stefan; Costenoble, Steven
Published by
Brooks Cole
ISBN 10:
1133607705
ISBN 13:
978-1-13360-770-0
Chapter 14 - Section 14.1 - Integration by Parts - Exercises - Page 1021: 1
Update this answer!
You can help us out by revising, improving and updating this answer.
Update this answerAfter you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.
