$(8)$ Given vec$(F)=x^2$yhat$(a{)}_x-$yhat$(a{)}_y$ find

a$)o{\displaystyle \underset{\phantom{}}{\overset{\phantom{}}{}}}$vec$(F)*dvec(l)$ wehere $L$ is defined by

b$){\displaystyle \underset{S}{\overset{L}{}}}(grad$vec$(F))*dvec(S)$ where $S$ in the area bouded by $L$

c$)$ Is the strolles theorem satisfied?