It is true that statistical differentiation and statistical integration is a missing part in mathematics. Moreover, it is important to understand that mathematics is only a tool to quantitatively describe physical phenomena, it cannot replace physical understanding. There is an assertion that mathematics is the language of physics but the converse is also true, physics can be the language of mathematics as in numerical differentiation and integration. In this article, physical B-matrix chains are used to numerically solve single and double definite integrals as well as numerical differentiation. We provide detailed calculations for n= 3,4, ….7 number of nodes where the efficiency and accuracy of the new technique are validated.