Line Integrals Integrate ${\displaystyle \underset{C}{\overset{\phantom{}}{}}}f(x,y,z)dS$ where $f(x,y,z)=2x+3x{y}^2$ over C where C is the first quadrant of the unit circle.

Work expectations: $($a$)$ create a vector and find ds$,($b$)$ set up the integration, and $($c$)$ compute the exact result.