University Calculus: Early Transcendentals (3rd Edition)

Published by Pearson
ISBN 10: 0321999584
ISBN 13: 978-0-32199-958-0

Chapter 4 - Section 4.8 - Antiderivatives - Exercises - Page 272: 30

Answer

$x-\dfrac{x^3}{3}-\dfrac{x^6}{2}+C$

Work Step by Step

Since, we have $\int (1-x^2-3x^5) dx=x-\dfrac{x^3}{3}-\dfrac{x^6}{2}+C$ and $\dfrac{d}{dx}(x-\dfrac{x^3}{3}-\dfrac{x^6}{2}+C)=1-x^2-3x^5$
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