   Chapter 5.5, Problem 42E ### 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. ∫ cos ( ln t ) t   d t

To determine

To evaluate: The indefinite integral.

Explanation

Given:

The indefinite integral function is cos(lnt)tdt.

Calculation:

Consider u=lnt

Differentiate both sides of the Equation.

du=1tdt

The indefinite integral function is,

cos(lnt)tdt (1)

Substitute u for (lnt) and du for (1tdt) in Equation (1)

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