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If the value of int(0)^( pi)(8sin^(2016)...

If the value of `int_(0)^( pi)(8sin^(2016)x+5cos^(2016)x)/(sin^(2016)x+cos^(2016)x)dx` is `(a pi)/(b)` (`a` and `b` are coprime), then `(a-b)` is

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