# Integration-3

Calculus Level 3

$\large \dfrac{ e^{2x} (2x-5)}{(2x-3)^3}$

If an antiderivative the expression above is in the form of

$\dfrac ab \cdot \dfrac{ e^{2x}}{(2x-3)^c} \; ,$

where $$a,b$$ and $$c$$ are positive integers with $$a,b$$ coprime, find $$a\times b+c$$.

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