   Chapter 5, Problem 66RE ### 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
1 views

# Evaluating a Definite Integral In Exercises 59–70, evaluate the definite integral. ∫ 1 2 ( 1 x 2 − 1 x 3 )   d x

To determine

To calculate: The definite integral 12(1x21x3)dx.

Explanation

Given Information:

The provided definite integral is 12(1x21x3)dx.

Formula used:

The sum and difference property of definite integrations:

ab[f(x)±g(x)]dx=ab[f(x)]dx±ab[g(x)]dx

The power rule of integrals:

undu=un+1n+1+C

The fundamental theorem of calculus:

abf(x)dx=F(b)F(a)

Here, F is function such that F(x)=f(x) for all x in [a,b].

Calculation:

Consider the indefinite integral:

12(1x21x3)dx

The property of definite integrations:

12(1x21x3)dx=12(x2)dx

### Still sussing out bartleby?

Check out a sample textbook solution.

See a sample solution

#### The Solution to Your Study Problems

Bartleby provides explanations to thousands of textbook problems written by our experts, many with advanced degrees!

Get Started

#### Find more solutions based on key concepts

Elementary Technical Mathematics

#### Area In Exercises 89-92, find the area of the given region. y=5x9x2

Calculus: Early Transcendental Functions (MindTap Course List)

#### The length of the curve given by x = 3t2 + 2, y = 2t3, is:

Study Guide for Stewart's Single Variable Calculus: Early Transcendentals, 8th

#### The graph of is: a) b) c) d)

Study Guide for Stewart's Multivariable Calculus, 8th 