   Chapter 15.2, Problem 46E

Chapter
Section
Textbook Problem

Sketch the region of integration and change the order of integration. ∫ 0 2 ∫ x 2 4 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 region D is enclosed by the parabola y = x2 and the plane y = 4.

Calculation:

From the given conditions, y varies from x2 to 4 and x varies from 0 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 0 to y and y varies from 0 to 4.

02x24f(x,y)

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