It's definite so outcomes definite

Calculus Level 3

\[\frac{\displaystyle \int_{0}^{\pi/2} ( 5 \cos^2 x + 3 \sin^2 x) \ dx}{ \displaystyle \int_{0}^{\pi/2} \sin \theta \cos \theta \sqrt{25 \sin^2 \theta + 9\cos^2 \theta} \ d\theta} = \, ?\]

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