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I ran into a situation I haven't experienced before where the integral of the derivative doesn't get me the original equation.

Is there a fundamental principle I am missing with this specific example ?

Derivative of this......

(x^2) / ( (x^2)-4 )

...gives.......

(-8*x) / ( (x^2-4)^2 )

But integral of (that)......

(-8*x) / ( (x^2-4)^2 )

...gives....

(4) / ( (x^2-4) )

...instead of (x^2) / ( (x^2)-4 ) (original equation).

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# Integral of derivative inconsistent

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