   Chapter 5.5, Problem 12E ### Single Variable Calculus: Early Tr...

8th Edition
James Stewart
ISBN: 9781305270343

#### Solutions

Chapter
Section ### Single Variable Calculus: Early Tr...

8th Edition
James Stewart
ISBN: 9781305270343
Textbook Problem

# Evaluate the indefinite integral. ∫ sec 2 2 θ   d θ

To determine

To evaluate: The indefinite integral.

Explanation

Given:

The indefinite integral function is sec22θdθ.

Calculation:

Consider u=2θ

Differentiate both sides of the equation.

du=2dθdθ=12du

The indefinite integral function is,

sec22θdθ (1)

Substitute u for 2θ and (12du) for dθ in Equation (1)

sec22θdθ

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Study Guide for Stewart's Single Variable Calculus: Early Transcendentals, 8th 