`_gr_poly_integral, gr_poly_integral`

Synopsis#include <flint/gr_poly.h>

int _gr_poly_integral(gr_ptr res, gr_srcptr poly, slong len, gr_ctx_t ctx)source

int gr_poly_integral(gr_poly_t res, const gr_poly_t poly, gr_ctx_t ctx)source

Sets res to the integral $\int_0^x f(t)\,dt$ , whose coefficient of $x^{i+1}$ is $f_i / (i + 1)$ , computed with gr_div_ui; the divisions must be possible in $R$ (GR_DOMAIN or GR_UNABLE otherwise, for example over $\mathbb{Z}$ or in small characteristic). The underscore version reads $\mathit{len} - 1$ coefficients of poly, writes len coefficients and allows aliasing.

Cite this page

The FLINT team, “_gr_poly_integral, gr_poly_integral (gr_poly.h),” FLINT: Fast Library for Number Theory, documentation, version 3.7.0-dev, 2026. https://flintlib.org/doc/gr_poly/_gr_poly_integral.html (generated 2026-11-02).

@misc{flint-doc-gr-poly-gr-poly-integral,
  author       = {{The FLINT team}},
  title        = {{\_gr\_poly\_integral, gr\_poly\_integral (gr\_poly.h)}},
  howpublished = {FLINT: Fast Library for Number Theory, documentation, version 3.7.0-dev},
  year         = {2026},
  url          = {https://flintlib.org/doc/gr_poly/_gr_poly_integral.html},
  note         = {Generated 2026-11-02}
}

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