   Chapter 5, Problem 47RE ### 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 47–50, sketch the region whose area is represented by the definite integral. Then use a geometric formula to evaluate the integral. ∫ 2 6 2   d x

To determine

To graph: The region whose area represent by definite integral 262dx and calculate integration by use of geometrical formula.

Explanation

Given Information:

The provided definite integral is 262dx.

Graph:

Consider the integration,

262dx

The limits of integration from 2 to 6 and integrand is 2

The region form by limits and integrand function is given by

Formula used:

The area of rectangle:

Area=Lenght×width

Area of function f(x) bound from x=a and x=b is given by

Area=abf(x)dx

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