Question

which of the following indicates the formula for Simpson's 1/3 rule?




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Answer 1

Answer:

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Step-by-step explanation:

"Explanation: The formula for Simpson's rule can be given as the sum of the two end ordinates plus four times the sum of even intermediate ordinates plus twice the sum of odd intermediate ordinates, the whole multiplied by one-third the common interval between them."

Answer 2

Answer:

Simpson's 1/3 rule is given as:

∫   f(x) dx = h/3 [(y⁰ + yⁿ) + 4(y¹ + y³ + y⁵ + …. + $y^{n-1}$) + 2(y² + y⁴ + y⁶ + ….. + $y^{n-2}$)]

Explanation:

Simpson's 1/3 rule:

Simpson,s 1/3 rule is a method used to find the definite integration which the whole interval of integration is divided into even number of subdivisions.

∫   f(x) dx = h/3 [(y⁰ + yⁿ) + 4(y¹ + y³ + y⁵ + …. + $y^{n-1}$) + 2(y² + y⁴ + y⁶ + ….. + $y^{n-2}$)]

where, yⁿ=f(xⁿ)