Calculus: Early Transcendentals (2nd Edition)

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

Chapter 5 - Integration - Review Exercises: 40

Answer

\[ = 12\]

Work Step by Step

\[\begin{gathered} - \int_4^1 {2f\,\left( x \right)\,dx} \hfill \\ \hfill \\ rewrite \hfill \\ \hfill \\ = - 2\int_4^1 {f\,\left( x \right)} \,\,dx \hfill \\ \hfill \\ therefore \hfill \\ \hfill \\ = 2\int_1^4 {f\,\left( x \right)\,\,dx} \hfill \\ \hfill \\ where{\text{ }}\int_1^4 {f\,\left( x \right)\,\,dx} = 6 \hfill \\ \hfill \\ = 2\,\left( { 6} \right) \hfill \\ \hfill \\ = 12 \hfill \\ \hfill \\ \end{gathered} \]
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