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Use Simpson's Rule, the Midpoint Rule, and the Trapezoid Rule to estimate the value of the integral ∫3125f(x)dx. In all cases, make n as large as possible, given that this table shows the only values of f that are known. x 25 26 27 28 29 30 31 f(x) 2.6 2.6 2.5 2.8 3.7 3.8 4.1 Simpson's Rule approximation Sn= Midpoint Rule approximation Mn= Trapezoid Rule approximation Tn=
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