List of quadrature rules (by integral)

\(\displaystyle \int f(x)\sqrt{((1+p[0])(1+p[1]))}\,\mathrm{d}x\)

• Chebyshev–Gauss type 2 (Q000012)

\(\displaystyle \int f(x)\,\mathrm{d}x\)

• Gauss–Legendre (Q000001)
• Xiao–Gimbutas (Q000002)
• Gauss–Lobatto–Legendre (Q000003)
• vertex quadrature (Q000004)
• centroid quadrature (Q000005)
• Hammer–Marlowe–Stroud (Q000006)
• closed Newton–Cotes (Q000008)
• open Newton–Cotes (Q000009)
• Clenshaw–Curtis (Q000010)

\(\displaystyle \int \frac{f(x)}{\sqrt{((1+p[0])(1+p[1]))}}\,\mathrm{d}x\)

• Chebyshev–Gauss type 1 (Q000011)

\(\displaystyle \int\int f(x)\,\mathrm{d}x\,\mathrm{d}y\)

• Sauter–Schwab (Q000007)