Express the integral ${}_R(x^2+y^2)dAasan$ iterated integral using polar coordinates $ifRis$ the region enclosed $by$

$y=\sqrt[\phantom{2}]{64-x^2}$ and the lines $y=x$ and $y=-x.$

$(Give$ exact answers. Use symbolic notation and fractions where needed.$)$

${}_R(x^2+y^2)dA={\displaystyle \underset{{}_1}{\overset{{}_2}{}}}{\displaystyle \underset{r_1}{\overset{r_2}{}}}f(r,)drd$

$f(r,)$

${}_1=$

${}_2=$

$r_1=$