FirstIntegral

represents a first integral associated with the variable u in the output of the function FirstIntegrals.

Details and Options

To use FirstIntegral, you first need to load the Variational Methods Package using Needs["VariationalMethods`"].

Wolfram Language code: Needs["VariationalMethods`"]

FirstIntegral[x] appears in the output for this variational problem:

Wolfram Language code: f = y[x]Sqrt[1 + y'[x]^2];

Wolfram Language code: FirstIntegrals[f, y[x], x]

Wolfram Language code: FirstIntegral[x] /. %

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