# It would be easier to generalize this problem

Calculus Level 5

Given that: $\int_{0}^{\frac{\pi}{2}} \ln(2468^{2} \cos^2\theta+990^2 \sin^2\theta) \text{ }d\theta=\pi\,\ln(a)$

Find the value of $$a$$.

Note : $$\ln$$ represents logarithmic function with base $$e$$.

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