The question is: $$ \iint_De^{-x^2-4y^2} \ dxdy, \quad D=\{(x,y):0\leq x\leq2y\}$$ This is how i've tried to attack this but i was getting nowhere with it : $$ \int_{0}^{\infty}e^{-4y} \ dy \int_{0}^{2y}e^{-x^2}dx$$ Am i on the right path? how should i proceed
Any suggestion?