Answer
$\int$ $x$$(5-x^{2})^{3}$ $dx$ = -$\frac{1}{2}$$\int$ $u^{3}$ $du$
Work Step by Step
$u$ = $(5-x^{2})$
$du$ = -$2x$ $dx$
-$\frac{1}{2}$$du$ = $x$ $dx$
$\int$ $x$$(5-x^{2})^{3}$ $dx$ = -$\frac{1}{2}$$\int$ $u^{3}$ $du$
Calculus 10th Edition
by Larson, Ron; Edwards, Bruce H.
Published by
Brooks Cole
ISBN 10:
1-28505-709-0
ISBN 13:
978-1-28505-709-5
Chapter 4 - Integration - 4.5 Exercises - Page 302: 77
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.
