   Chapter 5.4, Problem 44E ### 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 the Area of a Region In Exercises 43-46, find the area of the region bounded by the graphs of the equations. Use a graphing utility to verify your results. y = 1 + x , y = 0 , x = 0 , and  x = 4

To determine

To calculate: The area for the region that is bounded by the equations y=1+x,y=0,x=0 and x=4. Verify the result by the use of a graphing utility.

Explanation

Given information:

The equations are,

y=1+x,y=0,x=0 and x=4.

Formula used:

According to the fundamental theorem of calculus.

abf(x) dx=F(b)F(a)

For a function F when F(x)=f(x) and function f is continuous on [a,b].

Calculation:

Consider the equations.

y=1+x,y=0,x=0 and x=4

Now find the area by the use of fundamental theorem of calculus.

Area=04(1+x)dx=[x+2x3/23]04=(4+

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