jax.numpy.polyint(p, m=1, k=None)[source]#

Return an antiderivative (indefinite integral) of a polynomial.

LAX-backend implementation of numpy.polyint().

Original docstring below.


This forms part of the old polynomial API. Since version 1.4, the new polynomial API defined in numpy.polynomial is preferred. A summary of the differences can be found in the transition guide.

The returned order m antiderivative P of polynomial p satisfies \(\frac{d^m}{dx^m}P(x) = p(x)\) and is defined up to m - 1 integration constants k. The constants determine the low-order polynomial part

\[\frac{k_{m-1}}{0!} x^0 + \ldots + \frac{k_0}{(m-1)!}x^{m-1}\]

of P so that \(P^{(j)}(0) = k_{m-j-1}\).

  • p (array_like or poly1d) – Polynomial to integrate. A sequence is interpreted as polynomial coefficients, see poly1d.

  • m (int, optional) – Order of the antiderivative. (Default: 1)

  • k (list of m scalars or scalar, optional) –

    Integration constants. They are given in the order of integration: those corresponding to highest-order terms come first.

    If None (default), all constants are assumed to be zero. If m = 1, a single scalar can be given instead of a list.

Return type: