# Calc

Express the limit as a definite integral on the given interval. Use Riemright and evaluate the sum by hand.

lim n-> infinity sigma with n on top and i=1 on the bottom [4 - 3(xi*)^2 + 6(xi*)^5]delta x, [0,2]

Please help. I am really confused. To find delta x I would use (b-a)/n , but I am not given any of those values. And how do I know how many rectangles and where to break it up?

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1. You are given b and a
b = 2
a = 0
However you are not given the number of rectangles, n
Perhaps you can choose your own number.
The more rectangles you use, the closer the approximation will be to the actual integral
As n-->infinity, the answer becomes exact.
integral from 0 to 2 of (4-3x^2+6 x^5) dx
(4x -x^3 +x^6) at 2 - at 0
or
8-8+64 = 64
see how close to 64 you come with n = 3
n = 3 etc

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