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: 5

Answer

$3.4 \tan x+\dfrac{1}{ 1.3} \sin x-3.2 e^x +C$

Work Step by Step

We need to simplify: $\int (3.4 \sec^2 x+\dfrac{\cos x}{ 1.3}-3.2 e^x) \ dx $ Separate the integrals. $\int (3.4 \sec^2 x+\dfrac{\cos x}{ 1.3}-3.2 e^x) \ dx =3.4 \int \sec^2 x dx +\dfrac{1}{ 1.3} \int \cos x dx -3.2 \int e^x \ dx$ or, $=3.4 \tan x+\dfrac{1}{ 1.3} \sin x-3.2 e^x +C$
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