Chapter 15.2, Problem 11ES

Let C be the curve represented by the equations $x=2t,y=t^2(0\le t\le 1)$

In each part, evaluate the line integral along C.

$\begin{array}{l}\left(\text{a}\right){\displaystyle {\int }_C\left(x-\sqrt{y}\right)ds}\\ \left(\text{b}\right){\displaystyle {\int }_C\left(x-\sqrt{y}\right)dx}\\ \left(\text{c}\right){\displaystyle {\int }_C\left(x-\sqrt{y}\right)dy}\end{array}$ $$