Rule: Q[6, 7]

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.

• $P_1$:
  $\frac{231}{16}\cdot t^6-\frac{315}{16}\cdot t^4+\frac{105}{16}\cdot t^2-\frac{5}{16}$
• $P_2$:
  $\frac{231}{16}\cdot t^{13}-\frac{3731}{80}\cdot t^{11}+\frac{1182181}{20400}\cdot t^9-\frac{200960617}{5814000}\cdot t^7+\frac{1942171}{193800}\cdot t^5-\frac{241297}{193800}\cdot t^3+\frac{38549}{872100}\cdot t$

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.