Answer
$$\int x\,sin\,x\,dx=-x\,cos\,x+sin\,x + C$$
Work Step by Step
${(-x\,cosx\,)}'=-cos\,x+x\,sin\,x$ $$\int x\,sin\,x\,dx=-x\,cos\,x+\int cos\,x\,dx$$ $$=-x\,cos\,x+sin\,x+C$$
Calculus (3rd Edition)
by Rogawski, Jon; Adams, Colin
Published by
W. H. Freeman
ISBN 10:
1464125260
ISBN 13:
978-1-46412-526-3
Chapter 8 - Techniques of Integration - 8.1 Integration by Parts - Exercises - Page 395: 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.
