   Chapter 5.4, Problem 3E ### 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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# 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. ∫ 0 4 x   d x

To determine

To graph: The definite integral 04xdx and calculate its area using geometric formula.

Explanation

Given Information:

The provided integral is,

04xdx

Graph:

Consider the integral,

04xdx

The function is f(x)=x.

For x=1,

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

f(1)=1

For x=0,

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

f(0)=0

For x=1,

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

f(1)=1

For x=2,

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

f(2)=2

Here, the function is f(x)

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