# POLYINT

## Purpose:

Performs polynomial integration.

## Syntax:

POLYINT(p, k, form)

p

-

A series, the coefficients of the source polynomial.

k

-

Optional. A scalar, the integration constant. Defaults to 0.0.

form

-

Optional. An integer, the polynomial coefficient form:

 0: ascending powers, lowest degree to highest 1: descending powers, highest degree to lowest (default)

## Returns:

A series, the resulting polynomial coefficients.

## Example:

polyint({1, 2, 3})

returns the series {0.333, 1, 3, 0} representing the polynomial:

as the integration of:

## Example:

polyint({1, 2, 3}, 10)

returns the series {0.333 , 1, 3, 10} representing the polynomial:

as the integration of:

with an integration constant of 10.0.

## Example:

polyint({1, 2, 3}, 10, 0)

returns the series {10, 1, 1, 1} representing the polynomial:

as the integration of:

with an integration constant of 10.0.

## Example:

polyder(polyint({1, 2, 3}))

returns the series {1, 2, 3} indicating that POLYDER is an inverse function of POLYINT.

## Remarks:

If the input is a matrix, POLYINT considers each column to represent the polynomial coefficients with the result having the same number of columns as the input.

See POLYDER to calculate the derivative of a polynomial.

CONV

DECONV

POLY

POLYDER

POLYFIT

POLYGRAPH

POLYVAL

ROOTS