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int(0)^(pi//2) (cos^(5)x)/(sin^(5)x+cos^...

` int_(0)^(pi//2) (cos^(5)x)/(sin^(5)x+cos^(5)x)dx` is equal to

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int_(0)^(pi/2)(cos^(5)x dx)/(sin^(5)x+cos^(5)x)

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