Calculus Concepts: An Informal Approach to the Mathematics of Change 5th Edition

Published by Brooks Cole
ISBN 10: 1-43904-957-2
ISBN 13: 978-1-43904-957-0

Chapter 5 - Accumulating Change: Limits of Sums and the Definite Integral - Review Activities - Page 415: 19

Answer

$$ 2.4 e^{x}-\frac{7}{\ln 3}\left(3^{x}\right) +c$$

Work Step by Step

Given $$ \int\left[2.4 e^{x}-7\left(3^{x}\right)\right] d x $$ Thus: \begin{align*} \int\left[2.4 e^{x}-7\left(3^{x}\right)\right] d x&= 2.4 e^{x}-\frac{7}{\ln 3}\left(3^{x}\right) +c \end{align*}
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