   Chapter 5.4, Problem 5E ### 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

# Evaluating a Definite integral using a Geometric Formula In Exercises 1–6, sketch the region whose area is represented by the definite integral. Then use a geometric formula to evaluate the integral. See Example 1. ∫ − 3 3 9 − x 2   d x

To determine

To graph: The definite integral 339x2dx and calculate its area using geometric formula.

Explanation

Given Information:

The provided integral is,

339x2dx

Graph:

Consider the integral,

339x2dx

The function is f(x)=9x2.

For x=2,

Substitute x=2 in the f(x)=9x2 as below,

f(2)=9(2)2=94=5=2.36068

For x=1,

Substitute x=1 in the f(x)=9x2 as below,

f(1)=9(1)2=91=8=2.828

For x=0,

Substitute x=0 in the f(x)=9x2 as below,

f(0)=9(0)2=9=±3

For x=1,

Substitute x=1 in the f(x)=9x2 as below,

f(1)=9(1)2=91=8=2

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