∫0π2cos⁡2xcos⁡2x+4sin⁡2x dx\int_0^{\frac{\pi}{2}} \frac{\cos^2 x}{\cos^2 x + 4 \sin^2 x} \, dx

Mathematics

Problem

∫0π2cos⁡2xcos⁡2x+4sin⁡2x dx\int_0^{\frac{\pi}{2}} \frac{\cos^2 x}{\cos^2 x + 4 \sin^2 x} \, dx

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