   Chapter 5, Problem 32RE ### 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. ∫ sin ( ln x ) x d x

To determine

The value of the integral function.

Explanation

Given information:

The integral function is sin(lnx)xdx.

Calculation:

Consider lnx as u.

u=lnx (1)

Differentiate both sides of the Equation.

du=1xdx (2)

Substitute u for lnx and du for 1xdx in the function as shown below:

sin(lnx)xdx=sinudu (3)

The expression to find the integra

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