Use Green's Theorem $to$ evaluate the line integral ${\displaystyle \underset{c}{\overset{\phantom{}}{}}}{y}^{8}dx+x^{4}dy$ where $Cis$ the boundary $of$ the square

$-1x1,-1y1.$ Orient the curve counterclockwise.

$(Express$ numbers $in$ exact form. Use symbolic notation and fractions where needed.$)$