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Date: 23-4-2019
1373
Date: 9-8-2019
1376
Date: 15-5-2018
1794
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The second fundamental theorem of calculus holds for a continuous function on an open interval and any point in , and states that if is defined by the integral (antiderivative)
then
at each point in , where is the derivative of
REFERENCES:
Anton, H. "The Second Fundamental Theorem of Calculus." §5.10 in Calculus: A New Horizon, 6th ed. New York: Wiley, pp. 345-348, 1999.
Apostol, T. M. "Primitive Functions and the Second Fundamental Theorem of Calculus." §5.3 in Calculus, 2nd ed., Vol. 1: One-Variable Calculus, with an Introduction to Linear Algebra. Waltham, MA: Blaisdell, pp. 205-207, 1967.
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