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Antiderivatives

Antiderivatives. Indefinite Integrals. Definition. A function F is an antiderivative of f on an interval I if F’(x) = f(x) for all x in I . Example: F(x) = x 3 when f(x) = 3x 2 In other words, we are going backwards – given the derivative, what was the original function?.

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6 035 Functions Defined by the Definite Integral

6 035 Functions Defined by the Definite Integral. AB Calculus. Accumulation Functions. BIG PICTURE:. Given Then A (x) is the Accumulation function . The points on A(x) reflects the amount under the curve f (t). Net Area: Net Distance Net Money:.

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