# A Multidimensional Analogue of the Simpson's Formula of Integral - Mathematical Physics

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Abstract: The Simpson-s formula is obtained by approximating the integral of a functionon some interval by the integral of the quadratic polynomial determined by thefunction. However, a multidimensional analogue of the formula has not beengiven as far as we know.In this paper such a formula is given. Our formula is simple and beautiful,so it may be convenient in Mathematics or Mathematical Physics.

Author: ** Kazuyuki Fujii Yokohama City University**

Source: https://arxiv.org/