- #1
dc20
- 4
- 0
Hi,
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).
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).