Let x ~ n (0,1), find the probability density of y = 2x ^ 2 + 1 RT

Let x ~ n (0,1), find the probability density of y = 2x ^ 2 + 1 RT

Let the probability density function of standard normal distribution be φ (x) and its distribution function be Φ (x)
Let the distribution function of y be f (y), then
F(y)=P{Y