Trigonometry Integration

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 $A+C$