Thomas' Calculus 13th Edition

Published by Pearson
ISBN 10: 0-32187-896-5
ISBN 13: 978-0-32187-896-0

Chapter 4: Applications of Derivatives - Section 4.7 - Antiderivatives - Exercises 4.7 - Page 239: 40

Answer

$- \dfrac{1}{3} \tan x+C $

Work Step by Step

Here, $\int \dfrac{-1}{3} \sec^2 x dx$ Thus, we have $\int ( \dfrac{-1}{3} \sec^2 x ) dx= (-\dfrac{1}{3} )\int \sec^2 x dx=(- \dfrac{1}{3}) \tan x+C $
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