Calculus 10th Edition

Published by Brooks Cole
ISBN 10: 1-28505-709-0
ISBN 13: 978-1-28505-709-5

Chapter 4 - Integration - Review Exercises - Page 312: 10

Answer

$f(x)=3x^2+x+7$

Work Step by Step

Integrate $f'(x)$: $\int f'(x) dx=\int (9x^2+1)dx=3x^2+x+C$ $f(x)=3x^2+x+C$ Set in $f(0)=7$ and solve for $C$: $7=3(0)^2+0+C$ $C=7$ $f(x)=3x^2+x+7$
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