# Chapter 8 - Techniques of Integration - Chapter Review Exercises - Page 460: 26

$$2 \ln |\sec x|+C$$

#### Work Step by Step

\begin{aligned} \int \sin 2 x \sec ^{2} x d x &=\int(2 \sin x \cos x) \cdot \frac{1}{\cos ^{2} x} d x \\ &=2 \int \frac{\sin x}{\cos x} d x \\ &=2 \int \tan x d x \\ &=2 \ln |\sec x|+C \end{aligned}

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