If the area enclosed by the curves f(x) ...

If the area enclosed by the curves `f(x) = cos^(-1) (cos x) and g(x) = sin^(-1) (cos x) " in " x in [9 pi//4, 15 pi//4] " is " 9pi^(2)//b` (where a and b are coprime), then the value of b is ____

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