Answer
$\ln{|\sec x + \tan x|} - \sin x +C$
Work Step by Step
Find the indefinite integral
$\int \frac{tan^2x}{secx}dx$, Convert tanget to secant
$\int \frac{sec^2x-1}{secx}dx$
$\int (secx -cosx)dx$, Integrate
$\ln{|\sec x + \tan x|} - \sin x +C$
Calculus 10th Edition
by Larson, Ron; Edwards, Bruce H.
Published by
Brooks Cole
ISBN 10:
1-28505-709-0
ISBN 13:
978-1-28505-709-5
Chapter 8 - Integration Techniques, L'Hopital's Rule, and Improper Integrals - 8.3 Exercises - Page 530: 31
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