   Chapter 7.8, Problem 35E ### 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
1 views

# 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 ,   y = 2 x ,   x = 2

To determine

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

Explanation

Given Information:

The provided equations are y=x,y=2x and x=2.

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 equations,

y=x,y=2x and x=2

The graph of region bounded by equation y=x,y=2x and x=2 is shown below.

The point of intersection of the two graph is found by equating y=2x and y=x,

x=2xx=0

The point of intersection of the two graph is (0,0).

The bounds for x are 0x2 and bounds for y are xy2x

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