The value of the integral ∫_0^10(≤ft|(2[x])/(3x- [x])|)/(≤ft((2[x])/(…

The value of the integral $\int_0^{10}\frac{\left|\frac{2[x]}{3x- [x]}\right|}{\left(\frac{2[x]}{3x- [x]}\right)}dx$, where [*] denotes the greatest integer function, is