View source: R/rf_deriv_integral.R

integral.rationalfun | R Documentation |

Calculate the integral of a rational function. See "Details".

## S3 method for class 'rationalfun' integral(expr, ...)

`expr` |
an object of class "rationalfun" |

`...` |
not used in this function |

The returned value is a function call with argument named
"x". That is, the integral is an expression in R with an
explicit form, which could be evaluated directly by
calling `eval()`

, or indirectly using the
`int2fun()`

function.

The algorithm is based on the Hermite-Ostrogradski formula which is discussed in the reference. See the article for more details.

A function call representing the explicit form of the integral.

T. N. Subramaniam, and Donald E. G. Malm, How to
Integrate Rational Functions, *The American
Mathematical Monthly*, Vol. 99, No.8 (1992), 762-772.

`integral.polynomial`

# (x + 1) / (x^2 + x + 1) r <- rationalfun(c(1, 1), c(1, 1, 1)) expr <- integral(r) # Evaluate the call directly eval(expr, list(x = 2)) # Use int2fun() f <- int2fun(expr) f(2)

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