   Chapter 5, Problem 53RE ### 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 by the Fundamental Theorem In Exercises 53-58, find the area of the region. f ( x ) = 4 − x 2 To determine

To calculate: The area of region bounded by graph of function f(x)=4x2 Explanation

Given Information:

The provided graph of function f(x)=4x2.

Formula used:

Area of function f(x) bound from x=a and x=b is given by

Area=abf(x)dx

The fundamental theorem of calculus:

abf(x)dx=F(b)F(a)

Here, F is function such that F(x)=f(x) for all x in [a,b].

Calculation:

The provided graph of function f(x)=4x2.

The graph of function f(x)=4x2 is parabola bounded from x=2 and x=2. The integration of function f(x)=4x2 from x=2 and x=2 represent the area of region bound graph

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