I'm trying to get an area approximation under the graph, from to by using 6 and 12 left, right, and midpoint rectangles. I've computed 6 LE and 6 & 12 for both the RE and MP rectangles but I can't figure out how to correctly do 12 rectangles for LE and MP rectangles. I already know I got the right answer for the ones I mentioned, but I can't figure out what I'm doing wrong for 12 LE and 12 MP rectangles.
for 6 rectangles, and for 12 rectangles.
I'll write out all my summations that I used my calculator for. I marked the incorrect calculations with **
6 LE is 222
**12 LE ... I got 182.875
6 RE is 474
12 RE is 402
6 MP is 330
**12 MP ... I got 225.328125