In x xy dy dx

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter6: Applications Of The Derivative
Section6.CR: Chapter 6 Review
Problem 37CR
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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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