Riemann sum question, with picture

[yeahyeah<3]

Homework Statement

http://img4.imageshack.us/img4/898/integerqj5.jpg

Homework Equations

The Attempt at a Solution

It does appear to be a Riemann sum, I figured the 1/n is probably the width of the intervals and the sum in brackets is related to the sums of the heights of the rectangles. But my class didn't spend much time on Riemann sum's so I'm not sure I know how to continue.

 

[HallsofIvy]

Yes, 1/n is the width of the intervals which means that x= x₀+ i/n for i= 0, 1, ..., to (x₁- x₀)n. So it looks like we have f(x₀+ i/n)= (i/n)^2 and i is running from 0 to 3n. Looks to me like the limits of integration are 0 and 3 and the integrand is x².