Trapezoid approximation formula

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The trapezoidal rule formula is, Area = (h/2) [y 0 +y n +2 (y 1 +y 2 +y 3 +..+y n-1 )] where, y 0, y 1 ,y 2 . are the values of function at x = 1, 2, 3.. respectively. h = small interval (x 1 - x 0) Why is it Called Trapezoidal Rule Formula?
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Trapezoidal Rule for Integration (Definition, Formula, and

Trapezoid three is going to be f of 3 plus f of 4 divided by 2 times delta x. And then-- let's see. I'm running out of colors. This is trapezoid four right over here. So plus f of 4 plus f of 5, all of that over 2

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One plus one is two.