Abstract
In this paper, we derive method to find the values of the triple integrals numerically its integrands continuous but have singularity in partial derivatives in the region of the integrals by using Midpoint's rule on the three dimensions , and and how to findthe general form of the errors (correction terms) and we will improve the results by using Romberg acceleraion from correction terms that we found it when the number of subintervals that divided interval integral on the exterior dimension equal to twice the number of subintervals(n) on the interior dimension and the number of subintervals on the middle dimension.
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