Thomas' Calculus 13th Edition

Published by Pearson
ISBN 10: 0-32187-896-5
ISBN 13: 978-0-32187-896-0

Chapter 5: Integrals - Section 5.5 - Indefinite Integrals and the Substitution Method - Exercises 5.5 - Page 295: 17

Answer

-$\frac{1}{3}$ $(3-2s)^{\frac{3}{2}}$ + C

Work Step by Step

$u$ = $3-2s$ $du$ = $-2ds$ $\int$ $\sqrt(3-2s)$ $ds$ = -$\frac{1}{2}$$\int$ $\sqrt u^{\frac{1}{2}}$ $du$ = -$\frac{1}{3}$ $u^{\frac{3}{2}}$ + C = -$\frac{1}{3}$ $(3-2s)^{\frac{3}{2}}$ + C
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