   Chapter 8.2, Problem 50E

Chapter
Section
Textbook Problem

# Using the Tabular Method In Exercises 49–54, use the tabular method to find the integral. ∫ x 3 e − 2 x d x

To determine

To calculate: The value of integral of x3e2xdx using tabular method.

Explanation

Given:

The provided expression is x3e2xdx.

Formula used:

The by-parts rule is udv=uvvdu.

Calculation:

Consider the function x3e2xdx.

Let u=x3,dv=e2xdx.

Solve both separately.

First,

u=x3

Differentiate both sides.

du=3x2dx

Now solve the other one.

dv=e2xdx

Integrate both sides,

v=e2x2

Next, create a table that consists of three columns.

 Alternate Signs Derivatives of u v′ and its anti-derivatives + x3 e−2x − 3x2 −e−2x2 +

### 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 the limit. limx(x2+4x+1x)

Single Variable Calculus: Early Transcendentals

#### Solve the equations in Exercises 126. x44x2=4

Finite Mathematics and Applied Calculus (MindTap Course List)

#### Find f. f() = sin + cos , f(0) = 3, f(0) = 4

Single Variable Calculus: Early Transcendentals, Volume I

#### What is the slope of a nonvertical line? What can you say about the slope of a vertical line?

Applied Calculus for the Managerial, Life, and Social Sciences: A Brief Approach

#### State the three Laws of Logarithms.

Precalculus: Mathematics for Calculus (Standalone Book)

#### In Problems 19-44, factor completely. 32.

Mathematical Applications for the Management, Life, and Social Sciences

#### True or False: is monotonic.

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