Calculus 8th Edition

Published by Cengage
ISBN 10: 1285740629
ISBN 13: 978-1-28574-062-1

Chapter 4 - Integrals - 4.4 Indefinite Integrals and the Net Change Theorem - 4.4 Exercises - Page 336: 18

Answer

General Solution: $\quad \displaystyle x-\frac{2x^3}{3}+\frac{x^5}{5}+C$
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Work Step by Step

$\displaystyle \int(1-x^2)^2dx$ $\displaystyle \int(1-x^2)(1-x^2)dx$ $\displaystyle \int(1-x^2-x^2+x^4)dx$ $\displaystyle \int(1-2x^2+x^4)dx$ General Solution: $\quad \displaystyle x-\frac{2x^3}{3}+\frac{x^5}{5}+C$ A graph of the different members of this solution is graphed in the answer box above.
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