# Do you like Calculus?

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.

×