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
    The exact answer is
    (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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