Final simpsons rule

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Simpson’ s Rule Dominic and Haoyang

Transcript of Final simpsons rule

Simpson’s RuleDominic and

Haoyang

Integration

Simpson’s RuleFirst, we are essentially splitting up the area of interest (from a to b) into an even number of subintervals: x0, x1, x2, x3, x4, ... ,xn-1, xn where x0 = a and xn = bGiven this:

Where h is (b-a)/n and n is an even number representing the number of subintervals.

An ExampleUse Simpson’s rule with six divisions of the x-axis to find an approximation for:

An ExampleUse Simpson’s rule with ten divisions of the x-axis to find an approximation for: