Second Fundamental Theorem of Calculus					
				 
				
					
						
						 المؤلف:  
						Anton, H					
					
						
						 المصدر:  
						"The Second Fundamental Theorem of Calculus." §5.10 in Calculus: A New Horizon, 6th ed. New York: Wiley					
					
						
						 الجزء والصفحة:  
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						25-8-2018
					
					
						
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				Second Fundamental Theorem of Calculus
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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