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: 48


$$f(x)= \frac{1}{3}(x+1)^3+ \frac{25}{3}$$

Work Step by Step

Given: Slope$=(x+1)^2$ and passes through $(-2,8)$ Since the curve is given by \begin{align*} f(x)&=\int (x+1)^2dx\\ &=\frac{1}{3}(x+1)^3+c \end{align*} Since the curve passes through $(-2,8)$, then $c=25/3$ and $$f(x)= \frac{1}{3}(x+1)^3+ \frac{25}{3}$$
Update this answer!

You can help us out by revising, improving and updating this answer.

Update this answer

After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.