| |
| For indefinite integral formulas, click here. |
| Newton-Cotes Integration |
 |
|
The Newton-Cotes formulas, which have uniformly spaced grid points, are the most widely used numerical integration method. Common Newton-Cotes formulas include: • Trapezoidal Rule (Linear) • Simpson's Rule (Parabolic) • Simpson's 3/8 Rule (Cubic) • Bode's Rule (4th degree polynomials) |
| Gaussian Quadratures |
|
|
The Gaussian quadratures, which have non-uniformly spaced grid points, are very efficient for known smooth functions. Common Gaussian quadratures include: • Gauss-Legendre Formula for integration interval of • Gauss-Chebyshev Formula for integration interval of • Gauss-Hermite Formula for integration interval of • Gauss-Laguerre Formula for integration interval of |
.
.
.
