This time,

let's use the Fundamental Theorem $of$ Line Integrals $to$ evaluate ${\displaystyle \underset{C}{\overset{\phantom{}}{}}}{x}^{3}dx+y^{3}dy$ where $C$

$is$ the curve $r(t)=($:$1+sint,co{s}^{2}t$:$),0t\frac{}{2}.$ Show all work.