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Calculus: An Applied Approach (Min...

10th Edition
Ron Larson
ISBN: 9781305860919

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Calculus: An Applied Approach (Min...

10th Edition
Ron Larson
ISBN: 9781305860919
Textbook Problem
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Use a double integral to find the area of the region bounded by the graphs of y = 3 and y = x 2 2 x + 3.

To determine

To calculate: The area of the region bounded by the graphs of y=3 and y=x22x+3

using double integral.

Explanation

Given Information:

The provided curves are y=3 and y=x22x+3.

Formula used:

The area is calculated by use of formula as;

Area=Adxdy=Adydx

The integration of f(x)=xn is;

xndx=xn+1n+1+c,n1

Calculation:

First Trace the rough graph. Choose the vertical/ horizontal strip.

Taking vertical strip,

Now area can be evaluated as;

Area=Adydx=02x22x+33dydx=02(

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