ABSTRACT
Integration is introduced in analytical calculus using examples in which the function describes a continuous curve over some interval. Numerical integration can result in errors where a numerical error is defined as the difference between the true value and the estimated value. A number of engineering problems require a numerically derived estimate of a derivative of a function f(x), with several general approaches to the problem. If the model is more complex, then an analytical analysis is not possible, and a numerical solution of the derivatives is necessary to find the value or the values of the coefficients that provide the minimum value of F. To find the values of the coefficients, it would be necessary to take the derivative of F with respect to each of the four unknowns using analytical calculus.
