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Simpson’s Rule

When approximating The area under a Curve, it can be more Accurate to take a Series of curve rather Than a series of Trapezia. Simpson’s Rule. As with the trapezia, The values at each end of the middle parabolae get used Twice while those at the end get used once.

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Simpson’s Rule

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  1. When approximating The area under a Curve, it can be more Accurate to take a Series of curve rather Than a series of Trapezia Simpson’s Rule

  2. As with the trapezia, The values at each end of the middle parabolae get used Twice while those at the end get used once. Simpson’s Rule

  3. The values at the Turning points get Used 4 times. Simpson’s Rule

  4. Example Find the area Between x = 0 and X = 4 with 4 Sub-intervals for Simpson’s Rule

  5. Simpson’s Rule

  6. Simpson’s Rule

  7. Simpson’s Rule

  8. Simpson’s Rule

  9. Simpson’s Rule

  10. Area = h/3( f(x0) + 4*Σf(xodd) + 2*Σf(xeven) + f(xn) = 1/3 ( 10 + 40 +10) = 20 Simpson’s Rule

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