The trapezoidal rule is a method for approximating the definite integral of a function. It involves approximating the area under a curve by dividing it into trapezoids and summing up the areas of those trapezoids. The formula for the trapezoidal rule is as follows:
∫ f(x) dx ≈ (h/2) [f(x0) + 2f(x1) + 2f(x2) + ... + 2f(xn-1) + f(xn)]
where h is the width of each trapezoid and x0, x1, x2, ..., xn are the endpoints of the intervals over which the integral is being approximated.
what is trapezoidal rule in math
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