الخلاصة

The main objective of this paper is to to derivation numerically rule for finding the values of the triple integrals in region of the integration by using the Newton Coates formulas ( Mid-point rule and Simpson’s rule and Trapezoidal Rule on the x and y dimensions and z) and how to find the correction terms (error formula) and we use Romberg acceleration to improve the results when the number of subintervals of on the two dimensions are equal x,y but the other dimension z is not equal .