Finite Math and Applied Calculus (6th Edition)

Published by Brooks Cole
ISBN 10: 1133607705
ISBN 13: 978-1-13360-770-0

Chapter 16 - Section 16.3 - Integrals of Trigonometric Functions and Applications - Exercises - Page 1178: 4

Answer

$-4.1 \cos x dx +\sin x - 9.33 \ln |x|+C $

Work Step by Step

We need to simplify: $\int (4.1 \sin x+\cos x -\dfrac{9.33}{x}) \ dx $ Separate the integrals. $ \int (4.1 \sin x+\cos x -\dfrac{9.33}{x}) \ dx=4.1 \int \sin x dx +\int \cos x dx - 9.33 \int \dfrac{1}{x} \ dx$ or, $= -4.1 \cos x dx +\sin x - 9.33 \ln |x|+C $
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