# Integration

Given that $f(x-\frac{1}{2})-f(x-\frac{1}{4}) = 0$ for all real numbers $x$and $\int_0^1 f(x)= c. Find \int_1^2 f(x)\,dx.\ + \int_2^4 f(2x)\,dx.\ + \int_4^8 f(4x)\,dx.$. Can someone pls explain what this problem means and how to solve it?? Thanks in advance.