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                      Numerical integration

                      Reading time: 1min

                      Computes numerically the primitive of a function.

                      Syntax

                      numerical_integration(Function, Real, Real)
                      

                      Description

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

                      Options

                      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}}

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