### Calculate ( int_{C} mathbf{F} cdot d mathbf{r} ), where ( mathbf{F}(x, y)=leftlangle x^{2}+y, 8 x-y^{3}rightrangle ) and ( C ) is the positively oriented boundary curve of a region ( D ) that has area 5 .

Calculate ( int_{C} mathbf{F} cdot d mathbf{r} ), where ( mathbf{F}(x, y)=leftlangle x^{2}+y, 8 x-y^{3}rightrangle ) and ( C ) is the positively oriented boundary curve of a region ( D ) that has area 5 .