QUESTION $9$

The value of ${}_D{e}^{-y^2}dA,$ where $D=\{(x,y)$:$0y2,0xy\}$ is equal to

a$.\frac{1}{2}(1-e^{-4})$

b$.\frac{1}{2}(1-e^{-6})$

c$.\frac{1}{2}(1-e^{-2})$

d$.\frac{1}{2}(1-e)$

e$.\frac{1}{2}(1-e^{-3})$