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CalculusCalculus: An Applied Approach (MindTap Course List)10th Edition

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Chapter 5, Problem 54RE
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Calculus: An Applied Approach (Min...

10th Edition
Ron Larson
ISBN: 9781305860919

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BuyFindarrow_forward

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 ) = 9 − x 2

Chapter 5, Problem 54RE, Finding Area by the Fundamental Theorem In Exercises 53-58, find the area of the region. f(x)=9x2

To determine

To calculate: The area of region bounded by graph of function f(x)=9−x2

Calculus: An Applied Approach (MindTap Course List), Chapter 5, Problem 54RE

Explanation

Given Information:

The provided graph of function f(x)=9−x2.

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)=9−x2.

The graph of function f(x)=9−x2 is parabola bounded from x=−3 and x=3. The integration of function f(x)=9−x2 from x=−3 and x=3 represent the area of region bound graph

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Calculus (MindTap Course List)

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