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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