Math Help Forum: Approximating area

Hi everybody. I'm currently working on a problem that asks me to approximate the area with rectangles.

If the integral from 0 to 6 of (x² - 2x + 2)dx is approximated by three inscribed rectangles of equal width on the x-axis, then the approximation is

Since it says "inscribed", then I guess I should use lower Riemann sums?

I got 28 at the end. Am I correct?

Thanks a lot.

28 is the correct answer for the lower riemann sum, but the rectangles in this sum do not lie entirely underneath the parabola (between the parabola and the x-axis), if that is what you intended.

Look at a graph of the function (http://www.wolframalpha.com/input/?i=plot+x^2-2x%2B2)

Thanks for your reminder. I saw the graph and did it again. The sum of the 3 inscribed rectangles = 26. Am I correct this time? Thanks.