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 - Page 332: 77

Answer

$$12\ln \left| x \right| + C$$

Work Step by Step

$$\eqalign{ & \int {\frac{{12}}{x}} dx \cr & {\text{pull out the constant 12}} \cr & = 12\int {\frac{1}{x}} dx \cr & {\text{use the basic formula of the integration }}\int {\frac{1}{x}} dx = \ln \left| x \right| + C \cr & 12\int {\frac{1}{x}} dx = 12\left( {\ln \left| x \right|} \right) + C \cr & {\text{simplify}} \cr & = 12\ln \left| x \right| + C \cr} $$
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