The Fundamental Theorems of Calculus
First Fundamental Theorem of Calculus: Hypothesis: Suppose that f is a continuous function such that exists for every real number . Conclusion: If a < x < b, then A’(x) = f(x). Prove this Theorem. Go through a few examples with the class. The Second Fundamental Theorem of Calculus: Hypothesis: F is any antiderivative of a continuous function f. ................
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