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 - Page 355: 20

Answer

$F(x)=x-2\cos x+6\sqrt{x}+C$

Work Step by Step

From the Table of Antiderivatives, $f(x)=1\displaystyle \cdot x^{0}\quad \Rightarrow\quad F(x)=1\cdot\frac{x^{1}}{1}+C=x+C$ $f(x)=2\sin x\quad \Rightarrow\quad F(x)=-2\cos x+C$ $f(x)=3\displaystyle \cdot x^{-1/2}\quad \Rightarrow\quad F(x)=3\cdot\frac{x^{1/2}}{1/2}+C=6\sqrt{x}+C$ --- $F(x)=x-2\cos x+6\sqrt{x}+C$
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