calculus - Unique continuous function with...

I am not sure how to proceed on the following problem:

Prove that there is a unique continuous fuction $f:[0,1]\to \mathbb{R}$, with the property that $f(x)=x+\int_0^1 \sin(2\pi (x-y))^2 f(y)dy$ for all $x\in [0,1]$.

I would appreciate just a hint :) Thanks in advance