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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