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For indefinite integral formulas, click here. |
Newton-Cotes Integration |
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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 |
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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 |