i recently for out a problem asking for the riemann sum of sinx from 0<x<3pi/2 using 3 rectangles with right endpoints. I found that the answer was pi/2 and then the exact area of this was 1. am i right in what i did?

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- Nov 13th 2012, 12:48 PMpnfullerriemann sum
i recently for out a problem asking for the riemann sum of sinx from 0<x<3pi/2 using 3 rectangles with right endpoints. I found that the answer was pi/2 and then the exact area of this was 1. am i right in what i did?

- Nov 13th 2012, 08:03 PMhollywoodRe: riemann sum
The width of your rectangles is , and the heights are , , and . So the Riemann sum should be:

.

These rectangles are really wide, so you shouldn't expect the result to be close to the actual area, which you have correctly calculated as:

- Hollywood