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Calculus Level 4

\[ \int_0^x\int_0^x\int_0^x\int_0^x\int_0^x F(x) \, dx \;dx \;dx \;dx \;dx = \dfrac1K \int_0^x (x-u)^4 F(u) \, du \]

Find the integer value of \(K\) satisfying the equation above.

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