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    Trapezoid Rule

    Statement

    The trapezoidal rule is a Newton-Cotes formula for approximating the integral of a function f using linear segments. Let f be tabulated at points x_0 and x_1 spaced by a distance h, and write f_n=f(x_n). Then the trapezoidal rule states that integral_(x_0)^(x_1)f(x)dx≈h(f_0 + f_1)/2.

    Alternate names

    trapezoid rule | trapezium rule

    History

    status | proved

    Associated equation

    integral_(x_0)^(x_1)f(x)dx≈h(f_0 + f_1)/2

    Classes

    mathematical rules | solved mathematics problems | mathematics theorems

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