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 definite integral.
$ \displaystyle \int^{\pi/3}_{-\pi/3} x^4 \sin 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 Amrita Bhasin
Numerade Educator
This textbook answer is only visible when subscribed! Please subscribe to view the answer
01:30
Frank Lin
Calculus 1 / AB
Chapter 5
Integrals
Section 5
The Substitution Rule
Integration
Campbell University
Baylor University
Idaho State University
Boston College
Lectures
05:53
In mathematics, an indefinite integral is an integral whose integrand is not known in terms of elementary functions. An indefinite integral is usually encountered when integrating functions that are not elementary functions themselves.
40:35
In mathematics, integration is one of the two main operations of calculus, with its inverse operation, differentiation, being the other. Given a function of a real variable (often called "the integrand"), an antiderivative is a function whose derivative is the given function. The area under a real-valued function of a real variable is the integral of the function, provided it is defined on a closed interval around a given point. It is a basic result of calculus that an antiderivative always exists, and is equal to the original function evaluated at the upper limit of integration.
04:15
Evaluate the integrals.
05:25
01:24
04:01
Evaluate the integrals…
04:02
Evaluate the integral.
02:07
04:58
Evaluate the definite inte…
03:32
Evaluate the integral.…
02:00
given this function we know what we can actually do is evaluate f of negative ecstasy of its even odd. So everywhere you would have positive acts. I want you to plug in negative acts. Simplify. Okay. As we can see, half of negative X is equivalent to negative aftereffects. Therefore, dysfunction has rotational symmetry about the origin which is zero comma zero. And on top of that, the function is also odd. Which means that because it is odd, we know this and to roll is equivalent to zero. This is the theory that list in the textbook. Therefore, we have the same thing instead of a negative A. We have pie over three and negative pi over three. Therefore, we know the solution to this problem is zero.
View More Answers From This Book
Find Another Textbook
03:55
Assume that we want to construct a confidence interval. Do one of the follo…
01:07
The following two events are occurring independently. The odds of you winnin…
01:08
01:12
01:05
01:09
01:06