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.

Have you tried exercising the power of Wolfram Alpha?

I have the answer, but I'd like to see the solution, as this is a potential question for my exams.
nvm I realized Wolfram does this too. Hang on I'll check it out.

My gut feeling says to use the fundamental theorem of calculus ><

Hey bro glad you're online. Hmm do I use the formula with lim h->0?

To be honest, I don't have the answer, what's the solution though? ><

I don't know, the prof got stingy with the solutions. All I have are partial solutions that discuss every other question except for this one that I'm stuck on :(

Is the answer London?

No, it's got to be badger.

This is Whiskey Tango Foxtrot to stonebro. stonebro are you there stonebro? Over.

Time for an good old fashion email or visit then? Unless of course the paper is on next monday.

Edit; scratch that, you can actually use the fundamental theorem directly.
With F(x) = ∫ f(t) dt and limits a,x, you have F'(x) = f(x).

I thought it might be fox. But maybe I'm being mislead by... it all.

Ah many thanks for confirming this stonebro.
But I still don't quite understand. The answer given is F''(x) = f(x). My problem is, there is the (x-t) right after f(t). How do I get rid of that?
PS. do you have MSN?
Unfortunately it is :( Curse the Mathematics department.

I have MSN .. I might be without internet for a couple of days though as my last payment didn't go through and I was cut off .. writing from work now :(
I don't quite know how far you are in maths. Have you covered Taylor's Theorem yet? It might be that you can use that as well, since the construct f(t)*(x - t) is exactly the kind of thing you keep seeing in Taylor's Theorem.