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Dido525Best ResponseYou've already chosen the best response.0
dw:1353113577149:dw I am not sure if I can apply the fundamental theorem of Calculus here...
 one year ago

Dido525Best ResponseYou've already chosen the best response.0
@zepdrix @TuringTest @AccessDenied
 one year ago

AccessDeniedBest ResponseYou've already chosen the best response.2
I believe that you can apply the Fundamental Theorem of Calculus here if you take the derivative of both sides with respect to x.
 one year ago

AccessDeniedBest ResponseYou've already chosen the best response.2
Equality only holds if you do to one side what you do to the other. This holds true for differentiation as well
 one year ago

Dido525Best ResponseYou've already chosen the best response.0
so I get: 1+ln(x)=2xf(x^2)
 one year ago

Dido525Best ResponseYou've already chosen the best response.0
I sub in 4 and solve for f(x) right?
 one year ago

AccessDeniedBest ResponseYou've already chosen the best response.2
Yes, that's what I am getting as well. I then note that f(x^2) = f(4) if x=2. So I would substitute in x=2 to find f(4)...
 one year ago

Dido525Best ResponseYou've already chosen the best response.0
I get: dw:1353114453992:dw
 one year ago

AccessDeniedBest ResponseYou've already chosen the best response.2
Yep, looks correct to me. If we wanted f(x) in general, we'd probably just substitute in \(x = \sqrt{u}\) so the x^2 inside f(x^2) cancels with the root, but it seems easier to just go directly from f(x^2). :)
 one year ago

Dido525Best ResponseYou've already chosen the best response.0
Thanks a lot for helping me!
 one year ago

AccessDeniedBest ResponseYou've already chosen the best response.2
You're welcome! :)
 one year ago
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