'Trapezoidal approximation' diaporamas de présentation

Patrick Dempsey Bridget Fitzpatrick Heather Garber Keith Hout Jong Soo Mok

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To approximate the definite integral

Numerical integration is the process of approximating a definite integral using well-chosen sums of function values. It is needed when we cannot find an antiderivative explicitly, as in the case of the Gaussian function. To approximate the definite integral.

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Trapezoidal Rule

Trapezoidal Rule. Mt. Shasta, California. Photo by Vickie Kelly, 1998. Using integrals to find area works extremely well as long as we can find the antiderivative of the function. Sometimes, the function is too complicated to find the antiderivative.

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Trapezoidal Rule Revisited

Trapezoidal Rule Revisited. Using integrals to find area works extremely well as long as we can find the antiderivative of the function. Sometimes, the function is too complicated to find the antiderivative.

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The Trapezoidal Rule

The Trapezoidal Rule. Some elementary functions simply do not have antiderivatives that are elementary functions. For example, there is no elementary function that has any of the following functions as its derivative.

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Observations about Error in Integral Approximations

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