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Given that
I(n)=∫0π4cosnx dx, { I }(n)=\int _{ 0 }^{ \frac { \pi }{ 4 } }{ \cos ^{ n }{ x } \, dx },I(n)=∫04πcosnxdx,
if I(5)=abcI(5) = \frac { a\sqrt { b } }{ c } I(5)=cab, what is a+b+c?a + b + c?a+b+c?
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