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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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