Difference between revisions of "Jenny's Favorite theorem MA453Fall2008walther" - Rhea

Latest revision as of 14:10, 1 September 2008

My favorite theorm is the Fundamental theorem of Calculus because in calculus it seem to sum up everything that we learned. The fundamental theorem of Caluculus part one states Let f be a continuoues real function defined on a closed interval [a,b]. Let F be the function for all x in [a,b] by F(x)=Integral from a to x of f(t) dt. Then F is continuous on [a,b] and differental on the open interval (a,b) and F'(x)=f(x) for all x in (a,b).

Part Two states Let f be a continuous real function defined on a closed interval [a, b]. Let F be an antiderivative of f, for all x in [a, b], Then the integral from a to b of f(x) dx equals F(a)-F(b).

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