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: 37

Answer

$\dfrac{1}{1.1} \cos (-1.1 x-1) +C $

Work Step by Step

Our aim is to solve the integral $ \int \sin (-1.1 x-1) \ dx$ Use formula:$ \int \sin (ax+b) \ dx =\dfrac{-1}{a} \cos (ax+b)+C$ Let us consider that $a =-1.1$ and $b=--1$ Now, $ \int \sin (-1.1 x-1) \ dx =\dfrac{-1}{-1.1} \cos (-1.1 x-1) +C $ or, $= \dfrac{1}{1.1} \cos (-1.1 x-1) +C $
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