## Calculus (3rd Edition)

Published by W. H. Freeman

# Chapter 8 - Techniques of Integration - 8.2 Trigonometric Integrals - Exercises - Page 403: 55

#### Answer

$$\ln 2$$

#### Work Step by Step

\begin{align*} \int_{0}^{\pi / 3} \tan x d x&=\ln | \sec x| \bigg|_{0}^{\pi / 3}\\ &=\ln 2-\ln 1\\ &=\ln 2 \end{align*}

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