   Chapter 7.8, Problem 32E ### Calculus: An Applied Approach (Min...

10th Edition
Ron Larson
ISBN: 9781305860919

#### Solutions

Chapter
Section ### Calculus: An Applied Approach (Min...

10th Edition
Ron Larson
ISBN: 9781305860919
Textbook Problem
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# Finding Area with a Double Integral In Exercises 31-36, use a double integral to find the area of the region bounded by the graphs of the equations. See Example 4. y = x 3 / 2 ,     y = x

To determine

To calculate: The area of the region bounded by graph of equation y=x3/2 and y=x by using double integration.

Explanation

Given Information:

The provided equations are y=x3/2 and y=x.

Formula used:

If a region is R defined in the domain of ayb and cxd, then,

The area of the region R is,

A=cdabdydx

Calculation:

Consider the regions,

y=x3/2 and y=x.

The graph of region bounded by y=x3/2 and y=x is shown in below.

The bounds for x are 0x1 and bounds for y are x3/2yx.

The area of the region is

A=01x3/2xdydx

Integrate with respect to y by holding x constant,

01x3/2xdydx=

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