here cdf of Y: F(y)=P(Y<y) =P(X2 <y) =P(-√y <X <√y)
F(y)= f(x) dx = (1+x)/2 dx =(x+x2/2)/2 |√y-√y =(1/2)*((√y+y/2)-(-√y+y/2))
F(y) =(1/2)*((√y+y/2)-(-√y+y/2)) =√y
therefore pdf of Y: f(y) =(d/dy)*F(y) =(d/dy)(√y)
f(y)= for 0 <y<1
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