Prove that $f$ is integrable given that f is a positive measurable function on [0,1]

Question

Let $f∈L^p$, where $p∈[1,∞)$ and $y$ given, for all $y > 2$. Let $f$ be a positive measurable function on $[0,1]$ satisfying $$μ \left[{x∈[0,1]:f(x)>y}\right] \le \frac{1}{y} \frac{1}{\log(y)^2}$$ Prove that $f$ is integrable.

How do I construct the proper bounded $E_n$?