Problem $6$

Evaluate the following line integrals.

$($a$){\displaystyle \underset{C}{\overset{\phantom{}}{}}}(x-2y^2)dy,$ where $C$ is parametrized by $x=e^{2t},y=e^t,0t2$

$($b$){\displaystyle \underset{C}{\overset{\phantom{}}{}}}xds,$ where $C$ is the graph of $x=y^3,0y1$