Question

\[\int\limits_{}^{}\int\limits_{D}^{}2+x ^{2}y ^{3}-y ^{2}\sin (x) dA\] Over \[D=[{(x,y) | \ |x|+ |y|\le1}]\] What would be the bounds of integration here?

Answer 1

http://www.wolframalpha.com/input/?i=plot+%7Cy%7C%3C%3D+1-%7Cx%7C

Here is the plot of D, you should do this first. From here finding bounds is trivial.