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In numerical analysis, the trapezoidal rule is used for approximation of a definite integral. The code here is a general purpose code for any equation. [https://en.wikipedia.org/wiki/Trapezoidal_rule]

== MATLAB ==

function integral = trapezoid(f, a, b, n) x = (b-a)/n; result = 0.5f(a) + 0.5f(b); for i = 1:(n-1) result = result + f(a + ix); end integral = xresult; end

f is the equation, a is the lower limit, b is the upper limit, and n is the number of trapezoids or number of integration points.