This document discusses numerical integration and interpolation formulas. It begins by explaining the general formula for numerical integration using equidistant values of a function f(x) between bounds a and b. It then derives Trapezoidal, Simpson's, and Weddle's rules by putting different values for n in the general formula. The document also discusses Newton's forward and backward interpolation formulas, Lagrange interpolation formula, and provides examples of their application. It concludes by comparing Lagrange and Newton interpolation and discussing uses of interpolation in computer science and engineering fields.