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Full Version: Extrapolated Faá Di Bruno's Formula
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Here is how to evaluate the nth derivative of f o g:
My question is that: Is it possible to get a formula for integrate f o g dx? Where integrating means the -1st derivative.
Can we extrapolate this formula to the negative numbers?
What if I say the next:
int f o g dx = ?
-1b[-1] = -1
b[-1] = 1
k = 1
int f o g dx = (-1)!/1! f' o g * (g^(-1)/(-1)!)^1 = f' o g * int g dx

But it does not work ... Why?