Rule: Q[2, 17]

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.

• $P_1$:
  $\frac{3}{2}\cdot t^2-\frac{1}{2}$
• $P_2$:
  $\frac{3}{2}\cdot t^{19}-\frac{746491}{110950}\cdot t^{17}+\frac{2101438}{166425}\cdot t^{15}-\frac{6950314}{540485}\cdot t^{13}+\frac{120809429}{15674065}\cdot t^{11}-\frac{684437}{248211}\cdot t^9+\frac{60910694}{106868625}\cdot t^7-\frac{153288694}{2457978375}\cdot t^5+\frac{61922653}{20647018350}\cdot t^3-\frac{276029}{6882339450}\cdot t$

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.