   Chapter 5.4, Problem 2CP ### 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

# Checkpoint 2 Worked-out solution available at LarsonAppliedCalculus.comFind the area of the region bounded by the x-axis and the graph of f ( x )   = x 2 +   1 ,   2   ≤   x   ≤   3 .

To determine

To calculate: The area of the region bounded by xaxis and f(x)=x2+1, 2x3.

Explanation

Given Information:

The area of the region bounded by xaxis and f(x)=x2+1, 2x3.

Formula used:

The formula used in this question is

abf(x)dx=[F(x)]ab=F(b)F(a)

Calculation:

Now in order to plot the graph of the function f(x)=x2+1

Substitute x=1, in the function f(x)=x2+1 then

f(x)=x2+1=12+1=2

Substitute x=2, in the function f(x)=x2+1 then

f(x)=x2+1=22+1=5

Substitute x=3, in the function f(x)=x2+1 then

f(x)=x2+1=32+1=10

Now the table of the function f(x)=x2+1

x123f(x)2510

Now the graph of the region bounded by xaxis and f(x)=x2+1, 2x3 is

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