Find the Riemann sum for this integral

sntawkin
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Find the Riemann sum for this integral using the right-hand sums for n=4

Find the Riemann sum for this same integral, using the left-hand sums for n=4

Sorry the integral is attatched. I don't know how to get it onto here.
 

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Have you had an attempt at the problem? Post your working and we'll be able to help.
 
What is the question? Why did you find those Riemann sums? Do you see that the actual integral must be between those two Riemann sums?
 
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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