Numerical Integration

The objective is to calculate the integral of a function f over an interval (i.e. area under the curve). However, in practice, f or its antiderivative is analytically unknown, forcing us to settle for a numerical approximation. We investigate different numerical methods such as Trapezoidal rule, Simpson\u27s rule, Newton-Cotes rules and Gaussian quadrature rules to compute the area under f, and compare their accuracies and efficiencies