Solving Riemann Sums for \int_0^{2\pi} x^{2}sin(x)\,dx | Homework Help

Click For Summary

Homework Help Overview

The discussion revolves around expressing the integral \(\int_0^{2\pi} x^{2}\sin(x)\,dx\) as a limit of Riemann sums without evaluating the limit. The subject area is calculus, specifically focusing on Riemann sums and integral definitions.

Discussion Character

  • Exploratory, Conceptual clarification

Approaches and Questions Raised

  • Participants discuss the initial steps needed to express the integral as a Riemann sum. Some express uncertainty about how to begin, while others suggest that the task may be simpler than it seems. Links to external resources are provided to aid understanding.

Discussion Status

The discussion is ongoing, with participants offering guidance and resources to help the original poster get started. There is an acknowledgment of initial confusion, but also a sense of reassurance that the task is manageable.

Contextual Notes

The original poster is constrained by the requirement to express the integral without evaluating it, which may contribute to their uncertainty.

undrcvrbro
Messages
133
Reaction score
0

Homework Statement



Express the integral as a limit of Riemann sums. Do not evaluate the limit.

Homework Equations



\int_0^{2\pi} x^{2}sin(x)\,dx

The Attempt at a Solution



I really don't know where to start...any help getting me started would be highly appreciated!
 
Physics news on Phys.org
haha i saw that coming before I clicked the url.
 
but seriously just expressing any integral is probably much simpler than you are thinking, all you have to do is basically write down the definition of a Riemann sum here is a better link:

(first equation on page, just substitute your function in)
http://math.fullerton.edu/mathews/n2003/RiemannSumMod.html
 
Last edited by a moderator:
alright, seems like I was just over thinking. Thats what I figured. Thanks.
 
happy to help, good luck :smile:
 

Similar threads

  • · Replies 6 ·
Replies
6
Views
2K
  • · Replies 2 ·
Replies
2
Views
2K
  • · Replies 3 ·
Replies
3
Views
2K
  • · Replies 3 ·
Replies
3
Views
2K
  • · Replies 5 ·
Replies
5
Views
2K
  • · Replies 3 ·
Replies
3
Views
2K
  • · Replies 4 ·
Replies
4
Views
2K
  • · Replies 5 ·
Replies
5
Views
3K
  • · Replies 7 ·
Replies
7
Views
2K
  • · Replies 8 ·
Replies
8
Views
2K