   Chapter 5.5, Problem 30E ### 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 x tan 2 x   d x

To determine

To evaluate: The indefinite integral.

Explanation

Given:

The indefinite integral function is sec2xtan2xdx.

Calculation:

Consider u=tanx

Differentiate both sides of the equation.

du=sec2xdx

The indefinite integral function is,

sec2xtan2xdx (1)

Substitute u for (tanx) and du for (sec2xdx) in equation (1).

sec2xtan2xdx=1u2du=u2du (2)

Integrate Equation (2)

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