Refer a friend and earn $50 when they subscribe to an annual planRefer Now

Get the answer to your homework problem.

Try Numerade Free for 30 Days

Like

Report

Use the method of exercise 51 to evaluate the integral.$$\int x^{4} e^{2 x} d x$$

$$=\left(\frac{x^{4}}{2}-x^{3}+\frac{3 x^{2}}{2}-\frac{3 x}{2}+\frac{3}{4}\right) e^{2 x}+c$$

Calculus 1 / AB

Calculus 2 / BC

Chapter 6

Integration Techniques

Section 2

Integration by Parts

Integrals

Integration

Harvey Mudd College

University of Michigan - Ann Arbor

University of Nottingham

Lectures

01:11

In mathematics, integratio…

06:55

In grammar, determiners ar…

01:02

Use the method of exercise…

03:25

01:07

01:45

01:30

02:59

Use Exercise 52 to find $ …

00:57

In Exercises $25-46,$ use …

01:05

Use any method to evaluate…

01:42

Evaluating a Definite Inte…

Evaluate the integrals in …

talk about Question 55. Likewise, we have toe make a table over here and then we have to find its entry derivative for the first column will keep on the appreciating X rays to the ball. Four. So we have four x cubed. I will have Alexa Square will have 24 x will have 24. If you have it is to the board works. We integrate areas to the board. Works over to this will be easy is to the board two weeks or four areas to the board. Two weeks or eight areas to the part two weeks or 16 it is to the board works over 32 Onda Uh, it last we have the science which were toggle between plus minus, plus minus and plus so integral becomes X rays to the poor food it is to eat a support. Works can be fact taken out. So let's write. It is to the board to x outside. Inside we have e X rays to the ball forward to minus four times one of the forest one. So we have one way. Have excuse. Just excuse over here, Then we have extra square times 12 or eight, which is three or so we have three or two extra square on were 24/16 which is again three or two. But with the minus sign. So we have minus three or two X. Then we have with the plus sign. That's when we come three or four because it will go with aid common which common divisor is a So we have 8/4 on. But then here we have a concert of individual, so this is very quiet answer.

View More Answers From This Book

Find Another Textbook

Numerade Educator

In mathematics, integration is one of the two main operations in calculus, w…

In grammar, determiners are a class of words that are used in front of nouns…

Use the method of exercise 51 to evaluate the integral.$$\int x^{4} e^{x…

Use the method of exercise 51 to evaluate the integral.$$\int x^{5} \cos…

Use the method of exercise 51 to evaluate the integral.$$\int x^{3} e^{-…

Use the method of exercise 51 to evaluate the integral.$$\int x^{4} \sin…

Use the method of exercise 51 to evaluate the integral.$$\int x^{4} \cos…

Use Exercise 52 to find $ \displaystyle \int x^4 e^x dx $.

In Exercises $25-46,$ use substitution to evaluate the integral.$$\int \…

Use any method to evaluate the integrals in Exercises $55-66$$$\int …

Evaluating a Definite Integral In Exercises $41-48,$ use a table of integral…

Evaluate the integrals in Exercises $17-50$$$\int \frac{x}{\left(x^{…

02:11

Find the solution of the given differential equation satisfying the indicate…

01:09

Find out how your CAS evaluates $\int x \sin x \, d x$ if you fail to leave …

03:41

Use integration by parts to prove that for any positive integer $n$ $\int \s…

02:22

Involve Newton's Law of Cooling. For the cold drink in exercise $29,$ w…

01:43

Use the method of exercise 51 to evaluate the integral.$$\int x^{4} e^{2…

04:14

In exercises find the partial fractions decomposition and an antiderivative.…

Involve exponential decay. If a fossil is 1 million years old, what percenta…

00:54

Determine whether the series converges or diverges. For convergent series, f…

01:24

The camera's window on a robotic submarine is circular with radius 3 in…

00:33

Determine convergence or divergence of the series.$$\sum_{k=4}^{\infty} …

92% of Numerade students report better grades.

Try Numerade Free for 30 Days. You can cancel at any time.

Annual

0.00/mo 0.00/mo

Billed annually at 0.00/yr after free trial

Monthly

0.00/mo

Billed monthly at 0.00/mo after free trial

Earn better grades with our study tools:

Textbooks

Video lessons matched directly to the problems in your textbooks.

Ask a Question

Can't find a question? Ask our 30,000+ educators for help.

Courses

Watch full-length courses, covering key principles and concepts.

AI Tutor

Receive weekly guidance from the world’s first A.I. Tutor, Ace.

30 day free trial, then pay 0.00/month

30 day free trial, then pay 0.00/year

You can cancel anytime

OR PAY WITH

Your subscription has started!

The number 2 is also the smallest & first prime number (since every other even number is divisible by two).

If you write pi (to the first two decimal places of 3.14) backwards, in big, block letters it actually reads "PIE".

Receive weekly guidance from the world's first A.I. Tutor, Ace.

Mount Everest weighs an estimated 357 trillion pounds

Snapshot a problem with the Numerade app, and we'll give you the video solution.

A cheetah can run up to 76 miles per hour, and can go from 0 to 60 miles per hour in less than three seconds.

Back in a jiffy? You'd better be fast! A "jiffy" is an actual length of time, equal to about 1/100th of a second.