Double Integrals

Evaluate the Double Integrals $on$ a separate sheet $of$ paper. Show all $of$

your work.

${\displaystyle \underset{0}{\overset{1}{}}}{\displaystyle \underset{1}{\overset{2}{}}}(x+e^{-y})dxdy$

${\displaystyle \underset{-3}{\overset{3}{}}}{\displaystyle \underset{0}{\overset{\frac{}{2}}{}}}(y+y^{2}cosx)dxdy$

${\displaystyle \underset{1}{\overset{5}{}}}{\displaystyle \underset{0}{\overset{x}{}}}(8x-2y)dydx$

${}_R\frac{x{y}^2}{x^2+1}dA$

$R=\{(x,y)|0x1,-3y3\}$

${}_D\frac{y}{x^2+1}dA$

$D=\{(x,y)|0x4,0y\sqrt[\phantom{2}]{x}\}$