Durand's Rule

The Newton-Cotes Formula

$$\int_{x_1}^{x_n} f(x)\,dx = h({\textstyle{2\over 5}}f_1+{\te... ...2}+{\textstyle{11\over 10}}f_{n-1}+{\textstyle{2\over 5}}f_n).$$

See also Bode's Rule, Hardy's Rule, Newton-Cotes Formulas, Simpson's 3/8 Rule, Simpson's Rule, Trapezoidal Rule, Weddle's Rule

References

Beyer, W. H. (Ed.) CRC Standard Mathematical Tables, 28th ed. Boca Raton, FL: CRC Press, p. 127, 1987.