3_ In this problem you will compute approximations to Erf(1) where the error function is defined by Er f (x) e`t? dt. First use the trapezoidal rule, then Simpson $ rule Use a uniform partition with h 0.25, and find bounds on the error in each case
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25, t2 = 0.5, t3 = 0.75, and t4 = 1. Plugging in the values, we get: Er f (1) ≈ 0.25/2 [1 + 2e^-0.25 + 2e^-0.5 + 2e^-0.75 + e^-1] Er f (1) ≈ 0.148 To find the error bound, we can use the formula: |E| ≤ K*h^2/12 where K is the maximum value of the second Show more…
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