Calculus, 10th Edition (Anton)

Published by Wiley
ISBN 10: 0-47064-772-8
ISBN 13: 978-0-47064-772-1

Chapter 4 - Integration - 4.2 The Indefinite Integral - Exercises Set 4.2 - Page 279: 47


$$f(x)= x^2+x-6$$

Work Step by Step

Given Slope$=2x+1$ and passes through $(-3,0)$ Since the curve is given by \begin{align*} f(x)&=\int (2x+1)dx\\ &=x^2+x+c \end{align*} Since the curve passes through $(-3,0)$, then $c= -6$ and $$f(x)= x^2+x-6$$
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