Finding Riemann Sum for f(x)=3x^2+3

Tonyt88
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Homework Statement


Find the Riemann sum associated with f(x)=3 x^2 +3 ,\quad n=3 and the partition
x_0=0,\quad x_1=3,\quad x_2=4,\quad x_3=6,\qquad \mbox{ of } [0,6]
(a) when x_k^{*} is the right end-point of [x_{k-1},x_k]. .

(b) when x_k^{*} is the mid-point of [x_{k-1},x_k]


Homework Equations


I have no idea where to begin.


The Attempt at a Solution

 
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...what is the definition of a Riemann sum for a given tagged partition?
 
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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