The ebook Elementary Calculus is based on material originally written by H.J. Keisler. For more information please read the copyright pages. 
Home Integral Theorems of Calculus Fundamental Theorem of Calculus  
See also: Proof of the Fundamental Theorem  
Search the VIAS Library  Index  
Fundamental Theorem of Calculus
FUNDAMENTAL THEOREM OF CALCULUS Suppose f is continuous on its domain, which is an open interval I.
The Fundamental Theorem of Calculus is important for two reasons. First, it shows the relation between the two main notions of calculus: the derivative, which corresponds to velocity, and the integral, which corresponds to area. It shows that differentiation and integration are "inverse" processes. Second, it gives a simple method for computing many definite integrals.


Home Integral Theorems of Calculus Fundamental Theorem of Calculus 