Riemann Sum: Solve for Area Under Curve 0 to 18

blahblah33
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Riemann sum help!

Homework Statement


Use Riemann sum with ci= i3/n3
f(x)= \sqrt[3]{x} +12
from x=0 to x=18
n= 6 subintervals
Approximate the sum using Riemann's Sum

Homework Equations


\Sigma f(ci) \Delta xi
is the equation for riemanns sum i think

The Attempt at a Solution


i tried plugging in stuff using that, but i must've done something wrong because the answer i got was 200 off the actual area under the curve...
 
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also, is my original equation for riemann's sum correct? is there a limit involved?
 

Thread 'Finding the nth roots of a complex number'

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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