## Calculus 8th Edition

Published by Cengage

# Chapter 7 - Techniques of Integration - 7.2 Trigonometric Integrals - 7.2 Exercises - Page 524: 23

#### Answer

$\tan x-x+C$

#### Work Step by Step

$\int\tan^2 x\ dx$ Use the identity $\sec^2 x=1+\tan^2 x$ to rewrite $\tan^2 x$ as $\sec^2-1$: $=\int(\sec^2 x-1)dx$ $=\boxed{\tan x-x+C}$

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