Rule: Q[3, 10]

Type

Polynomials

One starts from the polynomial $P_1$ and extends one by one with $P_{\mathrm{i}}$ until the final polynomial defining this rule is reached.
Note: Polynomials might be truncated due to size! The complete polynomials are included in the download.

• $P_1$:
  $\frac{5}{2}\cdot t^3-\frac{3}{2}\cdot t$
• $P_2$:
  $\frac{5}{2}\cdot t^{13}-\frac{124943}{17112}\cdot t^{11}+\frac{2882165}{359352}\cdot t^9-\frac{1552265}{379316}\cdot t^7+\frac{52195}{54188}\cdot t^5-\frac{488345}{5527176}\cdot t^3+\frac{3421}{1842392}\cdot t$

Node locations in the complex plane

Magnitude of the Weights

Quadrature Rule Data

Nodes

Weights

Download

All rules of Legendre type can be downloaded here packed into a single file.