Rule: Q[9, 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.

• $P_1$:
  $\frac{12155}{128}\cdot t^9-\frac{6435}{32}\cdot t^7+\frac{9009}{64}\cdot t^5-\frac{1155}{32}\cdot t^3+\frac{315}{128}\cdot t$
• $P_2$:
  $\frac{12155}{128}\cdot t^{19}-\frac{1209065}{2688}\cdot t^{17}+\frac{9099233}{10143}\cdot t^{15}-\frac{3334685915}{3408048}\cdot t^{13}+\frac{4176111355975}{6584348736}\cdot t^{11}-\frac{996376844681933}{4009868380224}\cdot t^9+\frac{6369394178719}{111385232784}\cdot t^7-\frac{141775691629}{19890220140}\cdot t^5+\frac{154200324707}{381892226688}\cdot t^3-\frac{853422823}{127297408896}\cdot t$

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.