Science Fair Projects Ideas - Talk:Antiderivative

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Talk:Antiderivative

Why isn't this just merged with Integral?--Siva 20:43, 29 Aug 2004 (UTC)

Simply put, because antiderivatives and integrals are not the same thing. I think they deserve separate articles, although certainly a discussion of how they are related belongs in each article (which there currently is). Remember that it is only by the deep result of the Fundamental theorem of calculus that the seemingly otherwise unrelated concepts of integration and antidifferentiation end up being connected. and for certain classes of functions, this connection can't be made, because some functions have integrals, but not antiderivatives (within the appropriate domain). So the connection given by the Fundamental Theorem is deep and important, but it does not mean that the two ideas are exactly equivalent. -Lethe | Talk 01:04, Aug 30, 2004 (UTC)

When is the antiderivative not equal to the integral? What kind of function would have an integral but no antiderivative?--Siva 18:22, 30 Aug 2004 (UTC)

For example, the Cantor function. -Lethe | Talk
Last updated: 06-01-2005 20:52:34
10-26-2009 08:16:03
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