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 Problem Statement
 I've been doing maths for fun (I've only learned calculus 1 in university yet, but I love experimenting) and I've found the formula for integration by parts can be generalized as an infinite series.
 Relevant Equations
 I'm not well educated in infinite series, this is an amateur attempt but it works in most cases. Can someone tell me if this is right? I know in most cases it only makes things more complicated. I've tried it with simpler functions and it seems to work, more complicated ones are sometimes a problem. Here d^0/dx^0 f(x)=f(x)
For example integral of f(x)=sqrt(1x^2) from 0 to 1 is a problem, since the derivative of the function is x/sqrt(1x^2) so putting in 1 in the place of x ruins the whole thing.
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