It is proved that ∫ (0, π / 2) (f SiN x / (f SiN x + F cos x) DX = π / 4
Integral value = (variable replacement x = pi / 2-T) integral (0 to pi / 2) f (cosx) / (f (SiNx) + F (cosx)), the sum of the two (that is, twice the integral value), the integrand is 1, so the integral value is pi / 2, so the original integral value is pi / 4
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