September 29, 2014

Trapezoid Rule and Simpson's Rule. Error estimates.

Questions answered by this video:

What is numerical integration?

How do you estimate an integral numerically?

What is the trapezoid rule for approximating an integral?

How do you estimate an integral to within 0.0005?

What is Simpson's Rule?

What is the 3-point Simpson Rule?

What is the composite Simpson Rule?

How do you compute S4 for the integral of 1/(1 + ln x) between 1 and 3?

How do you estimate error for Simpson's Rule?

How do you find n so that Sn is guaranteed to be accurate to within 0.00005?

How do you do the trapezoid rule on a calculator?

How do you do Simpson's Rule on a calculator?

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