Download the App!

Get 24/7 study help with the Numerade app for iOS and Android! Enter your email for an invite.

Question

Answered step-by-step

Use integration by parts to prove the reduction formula.

$ \displaystyle \int x^n e^x dx = x^n e^x - n \displaystyle \int x^{n - 1} e^x dx $

Video Answer

Solved by verified expert

This problem has been solved!

Try Numerade free for 7 days

Like

Report

Official textbook answer

Video by Wen Zheng

Numerade Educator

This textbook answer is only visible when subscribed! Please subscribe to view the answer

Calculus 2 / BC

Chapter 7

Techniques of Integration

Section 1

Integration by Parts

Integration Techniques

Missouri State University

Campbell University

Idaho State University

Boston College

Lectures

01:53

In mathematics, integration is one of the two main operations in calculus, with its inverse, differentiation, being the other. Given a function of a real variable, an antiderivative, integral, or integrand is the function's derivative, with respect to the variable of interest. The integrals of a function are the components of its antiderivative. The definite integral of a function from a to b is the area of the region in the xy-plane that lies between the graph of the function and the x-axis, above the x-axis, or below the x-axis. The indefinite integral of a function is an antiderivative of the function, and can be used to find the original function when given the derivative. The definite integral of a function is a single-valued function on a given interval. It can be computed by evaluating the definite integral of a function at every x in the domain of the function, then adding the results together.

27:53

In mathematics, a technique is a method or formula for solving a problem. Techniques are often used in mathematics, physics, economics, and computer science.

00:35

Use integration by parts t…

02:01

03:18

01:03

01:59

01:44

00:50

use integration by parts t…

The problem is, is integration, my pars, to prove the reduction for minor into the role of axe to end Tam's into ax the ax. It's the call to ax to end times in tow, X minus in Pam's into the role of axe. Two months, one hams in tow. X Jax. So it's a farm owner of interpretation. My part is into go off you absolute prime yaks. This is what you perhaps being mind into group your crime. Ghastly, Jax. Now, for our problem, we can light you is going to axe too, And And the problem is to ACS. Yeah, You promise this vehicle too? In times X two months, Juan. And the record too. You two ax now into girl off ax to in Pam's into axe yaks. Using this farmer is going to You can't Please. This is two. How's Max minus in general, huh? Your crimes have sleaze. This is in times axe. Two lines wise power taps. You too. X X. This is result

View More Answers From This Book

Find Another Textbook

03:28

A rectangular park is 75m. long and 40m. wide. A path 3.5m. wide is construc…

00:30

A card is drawn at random from a well shuffled pack of 52 cards. Findthe pro…

02:12

Gauri, the youngest one at home, was playing with a pack of cards. She lost …

01:30

7. Two circles having the same centre have radii 350 m and 490 m. What is th…

01:20

Anjali started conducting weekly tests on Friday evening. The marks in this …

06:14

12. If the average cost of 20 red balls and 58 blue balls is Rs. 900, and on…

00:19

A ball is thrown in the air from the ledge. It’s height in feet is represent…

00:39

00:52

A goat is tied to a corner of a square field of side 8m with a rope 2 mtr lo…