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4.6 Numerical Integration Trapezoid and Simpson’s Rules

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Trapezoidal Rule To estimate the definite integral, we will divide the Interval into “n” trapezoids.

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The Trapezoidal Rule Let f be a continuous function on [a,b]. Then the Trapezoidal Rule for estimating the definite integral is given by

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Use the Trapezoid Rule to approximate the definite integral for the given “n”.

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Use the Trapezoid Rule to approximate the definite integral. Compare results when n=3 and n=6

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Simpsons Rule (with an even “n”) Let f be a continuous function on [a,b]. Simpson’s Rule for estimating the definite integral is given by

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Use Simpsons Rule to approximate

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HOMEWORK Pg 314: 2-14even, 19

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