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

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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!
 
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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
 
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alright, seems like I was just over thinking. Thats what I figured. Thanks.
 
happy to help, good luck :smile:
 
There are two things I don't understand about this problem. First, when finding the nth root of a number, there should in theory be n solutions. However, the formula produces n+1 roots. Here is how. The first root is simply ##\left(r\right)^{\left(\frac{1}{n}\right)}##. Then you multiply this first root by n additional expressions given by the formula, as you go through k=0,1,...n-1. So you end up with n+1 roots, which cannot be correct. Let me illustrate what I mean. For this...

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