   Chapter 5.4, Problem 2E ### 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. ∫ 2 5 4   d x

To determine

To graph: The definite integral 254dx and calculate its area using geometric formula.

Explanation

Given Information:

The provided integral is,

254dx

Graph:

Consider the integral,

254dx

Here, the function is f(x)=4 which is straight line and parallel to x-axis, the definite integral which, is restricted from x=2 to x=5 which would be the shaded region.

The graph of the integral 254dx is shown below,

Since, the above graph showing the rectangle between the limits of 2 to 5 whose base is 3 and height is 4

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