Numerical integration

Reading time: 1min

Computes numerically the primitive of a function.

Syntax

numerical_integration(Function, Real, Real)

Given an univariated function f(x) and two reals a and b, computes numerically the primitive of f between a and b.

Option	Description	Format	Default value
method	We can choose the method to use: `Integrat`, `Trapezis`, `Simpson`, `Romberg`, `Gauss-Legendre`, `Gauss-Laguerre`, `Gauss-Txebixev` and `Gauss-Hermite`	`{method="Simpson"}`	`{method="Integrat"}`
step	We can choose the integration step	`{step=10}`	For `Gauss-Hermite`, `Gauss-Laguerre`, `Gauss-Legendre` and `Gauss-Txebixev`, the default value is 6; for `Integrat` and `Romberg` is 10, while for `Simpson` and `Trapezis` is 100.
tolerance	We can choose the tolerance	`{tolerance=10^{-8}}`	`{tolerance=10^{-5}}`

Syntax Description Options