`We have learned in Calculus how to compute the definite integral
`

`In most practical situations, however, the antiderivative is
not available.
For example, the Gaussian integral
`

`The purpose of this project is to compute numerically the definite integral
; in other words, we want an algorithm
(that will translate in a piece of code) to compute an approximation of the
integral, up to the desired accuracy.
`

`In Calculus we learned that the integral
is a limit of Riemann sums. On a computer, we also approximate
the integral by a sum. We consider the set of node points
`

`In what follows we focus on two simple algorithms: the trapezoidal and the
Simpson method. All the methods discussed here use an equidistant
set of node points. More precisely, if we define the step
`