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Deane: I hope your curt "no" means that "there is no apparent contradiction, you are just making a silly mistake"...
That aside, I do think the question is a bit on the basic side for MO.
The leftmost side he wrote u(x) - u(y). The rightmost side he wrote the integral from y to x of Du multiplied by (x-y). They are rather not equal. See also Nate's answer for a counter-example.
Deane's comment pretty much settles the question, I think.
Neither of those questions are really appropriate for MO, methinks. Maybe we just don't have enough 3000+ members this weekend?
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