   Chapter 4.4, Problem 24E ### Calculus (MindTap Course List)

11th Edition
Ron Larson + 1 other
ISBN: 9781337275347

#### Solutions

Chapter
Section ### Calculus (MindTap Course List)

11th Edition
Ron Larson + 1 other
ISBN: 9781337275347
Textbook Problem

# Evaluating a Definite Integral In Exercises 9-36, evaluate the definite integral. Use a graphing utility to verify your result. ∫ − 8 − 1 x − x 2 2 x 3   d x

To determine

To calculate: The value of the definite integral 81xx22x3dx and to verify it.

Explanation

Given:

The definite integral 81xx22x3dx.

Formula Used:

The following integration formulas hold:

xkdx=xk+1k+1+c

Calculation:

The definite integral can be computed as:

81xx22x3dx=12(81x23dx81x53dx)=12([<

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