Calculus (3rd Edition)

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


$$\int x\,sin\,x\,dx=-x\,cos\,x+sin\,x + C$$

Work Step by Step

${(-x\,cosx\,)}'=-cos\,x+x\,sin\,x$ $$\int x\,sin\,x\,dx=-x\,cos\,x+\int cos\,x\,dx$$ $$=-x\,cos\,x+sin\,x+C$$
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