quiz 3 question 1
I'm having an issue on quiz 3, question 1. What I got was..
$$\int _0 ^{2\pi} \int _0^1 e^{-r^2} $$ $$= \int _0 ^{2\pi} e ^{-r^2} r \delta \theta \bigg |_0 ^1$$ $$= \int _0 ^{2\pi} e^{-1} \delta \theta $$ $$= 2\pi e^{-1} $$
Which I know isn't right, but I'm not sure where exactly I went wrong?