   Chapter 15.2, Problem 49E

Chapter
Section
Textbook Problem

Sketch the region of integration and change the order of integration. ∫ 1 2 ∫ 0 ln x f ( x ,   y )   d y   d x

To determine

To sketch: The outline of the region of integration and change the order.

Explanation

Given:

The regionD is enclosed by the plane y = 0 and the curve y = ln x.

Calculation:

From the given conditions, y varies from 0 to ln x and x varies from 1 to 2. Use these values and sketch the graph as given below in the Figure 1.

From Figure 1, it is observed that x varies from ey to 2 and y varies from 0 to ln 2.

120lnxf(x,y)dydx

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