S(x) = x - n where n<= x <= n+1

How do I show that there is no function F such that F'=S?

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- November 19th 2011, 07:31 PMBrownianManProving function is not integrable
S(x) = x - n where n<= x <= n+1

How do I show that there is no function F such that F'=S? - November 19th 2011, 09:49 PMchisigmaRe: Proving function is not integrable
S(x) is known as 'fractional part of x'...

Fractional Part -- from Wolfram MathWorld

... and it seems not to exist a valid reason for which it is not integrable...

Kind regards

- November 20th 2011, 02:08 PMJose27Re: Proving function is not integrable