If the integration of \[ \int \frac{dx}{\cos 4x \cdot \sin 2x}\]
can be expresed for \(\frac{1}{A}lnB+\frac{\sqrt{C}}{A}lnE+C_1\) where A is square number and C is prime number and \(C_1\) is constant. Find the value of \(A+C\)

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