Approximates the definite integral for a given function using the Newton-Cotes Formulas (Trapezoidal Rule, Simpson 1/3 Rule and Simpson 3/8 Rule) and Gauss-Legendre Quadrature.

Solves ordinary differential (system of) equations using the following methods: Euler method, Heun Method (also known as Modified Euler method) and fourth-order Runge-Kutta method.