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using either inscribed or circumscribed rectangles or a combination

2007-03-10 16:20:30 · 2 answers · asked by Anonymous in Science & Mathematics Mathematics

using the riemann sum (inscribed or circumscribed rectangles)

2007-03-10 16:30:11 · update #1

2 answers

First solve x^3-3x^2+2=0
(x-1)(x^2-2x-2)
This means that this curve crosses the x-axis when x=1, x=(1+sqrt(3), x=(1-sqrt(3)).
The integral between x=1-sqrt(3) and 1 is positive and the integral from 1-sqrt(3) and (1+sqrt(3) is negative--so take the absolute value after you integrate. Hope this helps.

2007-03-10 16:31:55 · answer #1 · answered by bruinfan 7 · 0 0

The answer depends on how many rectangles you pick. Generally, the more rectangles you pick, the more accurate result can be expected.

2007-03-10 16:25:56 · answer #2 · answered by sahsjing 7 · 0 0

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