# Documentation

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# Integration

Definite and indefinite integrals, numeric approximation of integrals, integration methods

## MuPAD Functions

 `int` Definite and indefinite integrals `int::addpattern` Add patterns for integration `intlib::byparts` Integration by parts `intlib::changevar` Change of variable `intlib::intOverSet` Integration over a set `intlib::printWarnings` Enable or disable warnings `numeric::gldata` Weights and abscissae of Gauss-Legendre quadrature `numeric::gtdata` Weights and abscissae of Gauss-Tschebyscheff quadrature `numeric::int` Numerical integration (the Float attribute of Int ) `numeric::ncdata` Weights and abscissae of Newton-Cotes quadrature `numeric::quadrature` Numerical integration ( Quadrature )

## Examples and How To

Compute Indefinite Integrals

To integrate a mathematical expression `f` means to find an expression `F` such that the first derivative of `F` is `f`.

Compute Definite Integrals

For definite integration, the int command restricts the integration variable `x` to the given range of integration.

Compute Multiple Integrals

To compute multiple integrals, use nested calls to int.

Apply Standard Integration Methods Directly

Integration by parts is one of the common methods for computing integrals.

Get Simpler Results

When computing integrals, MuPAD® applies strict mathematical rules.

If an Integral Is Undefined

Handling undefined integrals.

If MuPAD Cannot Compute an Integral

If the int command cannot compute a closed form of an integral, MuPAD returns an unresolved integral:

## Concepts

Integration Utilities

Use only in the MuPAD Notebook Interface.

Numeric Algorithms Library

Use only in the MuPAD Notebook Interface.

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