Sunday, February 7, 2010

True or False question about fundamental theorem of calculus ?

A continuous function on an interval I is the derivative of some function defined on I.





I think the statement is true. But I want to make sure. Thanks for any help.True or False question about fundamental theorem of calculus ?
The fundamental theorem of calc has to do more with antiderivatives.





The Fundamental Theorem of Calculus:


1. If G(x)= integral [a,x] f(t)dt, Then G is an antiderivative of f on [a,b]


2. Intergral [a,b] f(x)dx= F(b)- F(a) where F'(x)= f(x)

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