Calculus: Early Transcendentals 8th Edition

Published by Cengage Learning
ISBN 10: 1285741552
ISBN 13: 978-1-28574-155-0

Chapter 4 - Section 4.9 - Antiderivatives - 4.9 Exercises: 6

Answer

$\frac{x^{3}}{3}-5x^{2}+25x+C$

Work Step by Step

$\int(x-5)^{2}dx$ Expand binomial in integrand: $\int(x^{2}-10x+25)dx$. Use power rule for antiderivatives to find antiderivative: $\frac{x^{3}}{3}-\frac{10x^{2}}{2}+25x+C$. Simplify fraction: $\frac{x^{3}}{3}-5x^{2}+25x+C$.
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