   Chapter 5.4, Problem 1E ### 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. ∫ 1 3 5   d x

To determine

To graph: The definite integral 135dx and calculate its area using geometric formula.

Explanation

Given Information:

The provided integral is,

135dx

Graph:

Consider the integral,

135dx

Here, the function is f(x)=5 which is straight line and parallel to x-axis, the definite integral which, is restricted from x=1 to x=3 which would be the shaded region.

Therefore, the graph of the integral 135dx is shown below,

Since, the above graph showing the rectangle between the limits of 1 to 3 whose base is 2 and height is 5

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