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2014-01-19T16:59:59+01:00
This article is about the quadrature rule for approximating integrals. For the implicit trapezoidal rule for solving initial value problems, see Trapezoidal rule (differential equations). For the explicit trapezoidal rule for solving initial value problems, see Heun's method.The function f(x) (in blue) is approximated by a linear function (in red).In numerical analysis, the trapezoidal rule (also known as the trapezoid rule ortrapezium rule) is a technique for approximating the definite integralThe trapezoidal rule works by approximating the region under the graph of the function  as a trapezoid and calculating its area. It follows that


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