Probability from a density with a flat part and a power tail

The probability density function of a random variable $X$ is given by

$$f(x)=\begin{cases}\frac14, & \text{if }|x|\le1,\ \frac1{4x^2}, & \text{otherwise.}\end{cases}$$

Then $P\left(-\frac12\le X\le2\right)=$ ___________.