$(15$ points$)$ Set up an integral in terms of $t$ for the scalar line integral ${\displaystyle \underset{C}{\overset{\phantom{}}{}}}f(x,y)ds,$ where $f(x,y)=e^{-xy},$ and $C$ is the curve parametrized by $r(t)=($:$t^4,cos(t)$:$)$ for $0t2.$ You do not have to evaluate the integral.