Question

double intergral, multi variable

Answer 1

\[\int\limits_{-r}^{r}\int\limits_{-\sqrt{r^2-y^2}}^{\sqrt{r^2-y^2}}\]

Answer 2

\[\int\limits_{-r}^{r}\int\limits_{-\sqrt{r^2-y^2}}^{\sqrt{r^2-y^2}}\] \[\[\int\limits\limits_{-r}^{r}\int\limits\limits_{-\sqrt{r^2-y^2}}^{\sqrt{r^2-y^2}}\]\sqrt{r^2-y^2}\]

Answer 3

\[\[\int\limits\limits_{-r}^{r}\int\limits\limits_{-\sqrt{r^2-y^2}}^{\sqrt{r^2-y^2}}\ \sqrt{r^2-y^2} dx dy\]

Answer 4

One of these days you'll get it ;p

Answer 5

I'm assuming the r there should be an x

Answer 6

oh wait no.

Answer 7

It's a constant.

Answer 8

If you switch to polar you should have something nicer