   Chapter 5, Problem 37RE ### 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 integral, if it exists. ∫ sec θ tan θ 1 + sec θ d θ

To determine

The value of the integral function.

Explanation

Given information:

The integral function is secθtanθ1+secθdθ.

Consider 1+secθ as u.

u=1+secθ (1)

Differentiate both sides of the Equation (1).

du=secθtanθdθ (2)

Substitute u for (1+secθ) and du for (secθtanθdθ) in the function as shown below:

secθtanθ1+secθdθ=1udu</

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