In x xy dy dx

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter6: Vector Spaces
Section6.7: Applications
Problem 18EQ
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sketch the region of integration, and write an
equivalent double integral with the order of integration reversed.

In x
xy dy dx
Transcribed Image Text:In x xy dy dx
Expert Solution
Step 1

The integral is 1e0lnxxydydx

Step 2

The region of integration is defined by R=x,y| 0ylnx, 1xe.

Sketch the region R as shown below.

Calculus homework question answer, step 2, image 1

Consider a horizontal line L cuts the region R in the direction of increasing value of x.

The values of x where the L enters and leaves the region R denotes the x-limits of integration.

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