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: 38

Answer

$ \dfrac{1}{4.2} \sin (4.2 x-1) +C $

Work Step by Step

Our aim is to solve the integral $ \int \cos (4.2 x-1) \ dx$ Use formula:$ \int \cos (ax+b) \ dx =\dfrac{1}{a} \sin (ax+b)+C$ Let us consider that $a =4.2$ and $b=-1$ Now, $ \int \cos (4.2 x-1) \ dx =\dfrac{1}{4.2} \sin (4.2 x-1) +C $ or, $= \dfrac{1}{4.2} \sin (4.2 x-1) +C $
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