It would be easier to generalize this problem

Calculus Level 5

Given that: 0π2ln(24682cos2θ+9902sin2θ) dθ=πln(a)\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 aa.

Note : ln\ln represents logarithmic function with base ee.

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