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Trapezoidal rule

Numerical integration methodThe function f(x) (in blue) is approximated by a linear function (in red).In calculus, the trapezoidal rule (informally trapezoid rule; or in British Englishtrapezium rule) is a technique for numerical integration, i.e. approximating the definite integral: ∫abf(x)dx.{\displaystyle \int _{a}^{b}f(x)\,dx.}An animation that shows what the trapezoidal rule is and how the error in approximation decreases as the step size decreasesThe trapezoidal rule works by approximating the region under the graph of the function f(x){\displaystyle f(x)} as a trapezoid and calculating its area.

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