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Also called numerical integration, quadrature refers to the approximation of an integral made by evaluating the integrand at a finite number of points.

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How to use numerical integration to calculate the surface area of a superellipsoid?

Among the specific numerical integration methods I have tried with these functions are: Gauss-Kronrod quadrature, adaptive multidimensional integration (cubature), and Simpson's rule. … Only two or three of the methods I tried (cubature and some variant of Gaussian quadrature) gave sensible results but run a bit slower than I had hoped. …
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