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Calling all math geniuses on this forum! I've got another calculus problem I need help with, much appreciated if someone can provide me with the solution.
Let f be a continuous function on R. Given
F(x) = ∫ f (t) (x-t) dt
Evaluate F''(x) <--- note: 2 derivatives, not one, meaning d^2y/dx^2
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For that above equation, the upper limits of the integral ∫ is x, and lower limits is a.
Post edited November 20, 2009 by lowyhong
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Yea learnt Taylor's Theorem, but only skimmed through it. I will try it, thanks!
Eh, crap, I don't think Taylor's will help you ... it's f'(t)*(x-t) type stuff that pops up there of course, not f(t).
I'll post the solution when / if I get back online during the weekend, after I get home and can find pen, paper and my old calculus book :)
Post edited November 20, 2009 by stonebro
Many thanks stoney!