Posted by **REALLY NEED HELP!!!!** on Friday, November 12, 2010 at 6:59pm.

Estimate the area under the graph of

f(x)=3x^3+5

from x=-1 to x=4, first using 5 approximating rectangles and right endpoints, and then improving your estimate using 10 approximating rectangles and right endpoints.

I'm having problem with using the midpoint to find the area. With 5 rectangle I have 210.625 but I can't figure out how to do the 10 rectangle.

- Math: Calculus -
**bobpursley**, Friday, November 12, 2010 at 8:09pm
again, you cannot estimate to six significant digits.

on the five rectangle, right endpoints, use 4,3,2,1,0 as right endpoints, width 1

area= f(4)*1 + f(3)*1 + ...

now for ten, use 4, 3.5, 3, 2.5....to -.5, then area width is .5

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