The composite Simpson's 3/8 rule for ∫ₐᵇ f(x) dx with n subintervals (where n is a multiple of 3) can be written as:

Question

Answer

(3h/8)[f(x₀) + f(xₙ) + 2(sum of ordinates with non-multiple-of-3 indices) + 3(sum of ordinates with indices multiple of 3)]

Answer

(3h/8)[f(x₀) + 4f(x₁) + 4f(x₂) + 2f(x₃) + 4f(x₄) + ... + f(xₙ)]

Answer

(3h/8)[f(x₀) + f(xₙ) + 4(sum of all interior ordinates)]

Answer

(3h/8)[f(x₀) + f(xₙ) + 3(sum of ordinates with non-multiple-of-3 indices) + 2(sum of ordinates with indices multiple of 3)]

Answer

(3h/8)[f(x₀) + f(xₙ) + 4(sum of ordinates with non-multiple-of-3 indices) + 2(sum of ordinates with indices multiple of 3)]

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