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

Evaluate the indefinite integral as an infinite series.

$$ \int x^2 \sin (x^2) dx $$

Video Answer

Solved by verified expert

This problem has been solved!

Try Numerade free for 7 days

Like

Report

Official textbook answer

Video by Yiming Zhang

Numerade Educator

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

Calculus 2 / BC

Chapter 11

Infinite Sequences and Series

Section 10

Taylor and Maclaurin Series

Sequences

Series

Missouri State University

University of Michigan - Ann Arbor

Idaho State University

Lectures

01:59

In mathematics, a series is, informally speaking, the sum of the terms of an infinite sequence. The sum of a finite sequence of real numbers is called a finite series. The sum of an infinite sequence of real numbers may or may not have a well-defined sum, and may or may not be equal to the limit of the sequence, if it exists. The study of the sums of infinite sequences is a major area in mathematics known as analysis.

02:28

In mathematics, a sequence is an enumerated collection of objects in which repetitions are allowed. Like a set, it contains members (also called elements, or terms). The number of elements (possibly infinite) is called the length of the sequence. Unlike a set, order matters, and exactly the same elements can appear multiple times at different positions in the sequence. Formally, a sequence can be defined as a function whose domain is either the set of the natural numbers (for infinite sequences) or the set of the first "n" natural numbers (for a finite sequence). A sequence can be thought of as a list of elements with a particular order. Sequences are useful in a number of mathematical disciplines for studying functions, spaces, and other mathematical structures using the convergence properties of sequences. In particular, sequences are the basis for series, which are important in differential equations and analysis. Sequences are also of interest in their own right and can be studied as patterns or puzzles, such as in the study of prime numbers.

03:00

Evaluate the indefinite in…

01:58

02:12

03:20

12:43

02:37

04:11

00:39

00:33

So you value this indefinite Negro as an infant. A serious. All right. So I because too squirm terms the experience of this part. So it's gonna be in from one too, if any. Next square to the power two minus one over two minutes. One times months went off on months one. So this is Thies takes Baron sign t and we said ticks and swear, Yes. So this is our This is too much for Taro, actually. And here have the X. It is really correct. And a close too, which in the order of indigo and some So it becomes who actually pour for in minus two plus two is power foreign over two minutes with tutorial and natural wants apartment minus one the X and this is just equal to and from one to infinity that you want north and minus one over two minutes with pictorial And what isthe the integral of four x four Foreign. The excess Libby Extra car for us. One over Foreign press one. And this is over. Result it ISS and their finance. Siri's

View More Answers From This Book

Find Another Textbook

03:25

'101 . Video Sharing In 2006 about 33% of Americans reported watching o…

00:55

"Debi walks laps around the mall for exercise during the winter months:…

05:27

"Classwork for Jack: Algebra 2,5calculator google - Google Searc x<…

01:48

'clothing business finds there is linear relationship between the numbe…

03:36

'Question 3) A certain population of bacteria is known to grow at &…

02:51

'Compute the Riemann sum for f(z) = 21[1, using the partition{1…

01:50

'The angles of a triangle add up to 180 degrees.The second angle is…

04:58

'The acceleration of an object (in m/s?) is given by the function a(t) …

05:17

"Crime randomly selects 600 files of recently committed crimes in an ar…

'10. A Ferris wheel with a radius of 25 feet revolves once every 10 min…