Calculus (3rd Edition)

Published by W. H. Freeman
ISBN 10: 1464125260
ISBN 13: 978-1-46412-526-3

Chapter 5 - The Integral - 5.7 Substitution Method - Exercises - Page 275: 3

Answer

$$ u=\cos x^{2}\Longrightarrow du =-2x \sin x^2 dx .$$

Work Step by Step

Recall that $(\cos x)'=-\sin x$. Recall that $(x^n)'=nx^{n-1}$ $$ u=\cos x^{2}\Longrightarrow du =-2x \sin x^2 dx .$$
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