The probability density of random variable x is f (x) = {A / radical (1-x ^ 2) | x | = 1 question, a =? Answer = 1 / π... How to calculate P{-1/2

The probability density of random variable x is f (x) = {A / radical (1-x ^ 2) | x | = 1 question, a =? Answer = 1 / π... How to calculate P{-1/2

First, according to the definite integral of the probability density function from negative infinity to positive infinity as 1, a is obtained, and then p {- 1 / 2 & lt; X & lt; 1 / 2},