MAT136H1 Lecture Notes - Antiderivative
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MAT136H1 Full Course Notes
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For integrals where algebraic evaluation of the anti-derivative is difficult or even impossible, various approximation methods are used. All approximation methods result in small amount of error so that if it were added to the approximation, it equals the exact value of the integral. , and is the midpoint of th subinterval [ ], so that . Midpoint error is half the error of | | that results from trapezoid rule. Thus the area for th trapezoid is written as: Uses parabola to approximate the area of each subinterval.