Calculus: Early Transcendentals (2nd Edition)

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

Chapter 5 - Integration - Review Exercises: 41

Answer

\[ = 10\]

Work Step by Step

\[\begin{gathered} \int_1^4 {\,\left( {3f\,\left( x \right) - 2g\,\left( x \right)} \right)} dx \hfill \\ \hfill \\ split\,\,the\,\,{\text{integrand}} \hfill \\ \hfill \\ = 3\int_1^4 {f\,\left( x \right)\,\,dx} - 2\int_1^4 {g\,\left( x \right)} dx \hfill \\ \hfill \\ use\,\,the\,{\text{ }}data\,from\,\,the\,\,given\,{\text{exercise}} \hfill \\ \hfill \\ = 3\,\left( 6 \right) - 2\,\left( 4 \right) \hfill \\ \hfill \\ simplify \hfill \\ \hfill \\ = 18 - 8 \hfill \\ \hfill \\ = 10 \hfill \\ \end{gathered} \]
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