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: 8

Answer

$\dfrac{4.4}{3} \cos (-3x+4 )+C$

Work Step by Step

Our aim is to solve the integral $\int 4.4 \sin (-3x+4 ) \ dx$ Let us consider that $a =-3x+4$ and $\dfrac{da}{dx}=-3\implies dx=\dfrac{-da}{3}$ Now, $\int 4.4 \sin (-3x+4 ) \ dx = \int \dfrac{-4.4}{3} \sin a \ da$ or, $=\dfrac{4.4}{3} \cos a+C$ or, $=\dfrac{4.4}{3} \cos (-3x+4 )+C$
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