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**Unformatted text preview: **F be any antiderivative of f , that is F = f . Then ( ) ( ) ( ) b a f x dx F b F a =-& . Graphically, the Fundamental Theorem of Calculus means that the rate of change of the area function is the height of the original function. The Fundamental Theorem guarantees that every continuous function f on I has an antiderivative on I . (Not that its always easy to find) Try exercises 20, 22, 26, 30, 32, 38 and 65 on pages 388-389 in your text....

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