Calculus: Early Transcendentals (2nd Edition)

Published by Pearson
ISBN 10: 0321947347
ISBN 13: 978-0-32194-734-5

Chapter 4 - Applications of the Derivative - Review Exercises: 76

Answer

$${e^{2x}} + C$$

Work Step by Step

$$\eqalign{ & \int {2{e^{2x}}} dx \cr & {\text{take out the constant}} \cr & = 2\int {{e^{2x}}} dx \cr & {\text{use the formula }}\int {{e^{ax}}dx} = \frac{1}{a}{e^{ax}} + C \cr & = 2\left( {\frac{1}{2}{e^{2x}}} \right) + C \cr & {\text{simplify}} \cr & = {e^{2x}} + C \cr} $$
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