Let int(x^(3)+x^(2)+x)/(sqrt(12x^(3)+15x...

Let `int(x^(3)+x^(2)+x)/(sqrt(12x^(3)+15x^(2)+20x))dx=f(x)` where `f(1)=(sqrt(47))/(30).` If `(f(2))^(2)` is equal to `(p)/(255)`, then the value of p is equal to

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