- #1

tnutty

- 326

- 1

## Homework Statement

[tex]\int_{D}\int y^2[/tex]

where D = {(x,y) | -1 [tex]\leq[/tex] y [tex]\leq1[/tex], -y-2[tex]\leq x\leq y[/tex]

The integral I set up is below :

[tex]\int^{1}_{-1} \int^{y}_{-y-2} y^2 dx dy [/tex]

From that I get the answer 0, but the book says its 4/3.

I get 0 because It reduces to this integral :

[tex]\int^{-1}_{1} 2y^3 + 2y[/tex]

Any idea where I could be wrong?