   Chapter 7.R, Problem 28E

Chapter
Section
Textbook Problem

# Evaluate the integral. ∫ x 3 + 1 x 3 − 1 d x

To determine

To Find:x3+1x31dx

Explanation

Sometimes we may not be able to identify the techniques to be used to evaluate the integral.

Here, the substitution is not the obvious one but the algebraic substitution x=t3 will work. Now, differentiate x=t3 with respect to x to get

dx=3t2dt

Using the substitution, the integral reduces to

x3+1x31dx=t+1t1(3t2)dt=3t3+t2t1dt=3(t2+2t+2+2t1)dt=

### 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

#### Rationalize Numerator Rationalize the numerator. 92. 3+52

Precalculus: Mathematics for Calculus (Standalone Book)

#### Compute P7,7.

Understanding Basic Statistics

#### Evaluate the definite integral. 01ez+1ez+zdz

Single Variable Calculus: Early Transcendentals

#### For

Study Guide for Stewart's Multivariable Calculus, 8th 