Consider the triangular contour shown below.

Calculate the following for vec$(E)=$hat$(x)x^{2}y+$hat$(y)(x^2+3y^2)$

$($a$)o{\displaystyle \underset{C}{\overset{\phantom{}}{}}}$vec$(E)*vec(dl)$ around the triangular contour shown above

$($b$)(vec(grad)$vec$(E))*vec(ds)$ over the surface area of the triangle