integrate f$($x$,$y$,$z$)=$x$+$y$^1/2-$z$^3$ over the path from $(0,0,0)$ to $(1,1,1)$ given by c$1$:r$($t$)=$ti$+$t$^2$jt c$2$:r$($t$)=$i$+$j$+$tk t

Integrate $f(x,y,z)=x+\sqrt[\phantom{2}]{y}-z^3$ over the path from $(0,0,0)$ to $(1,1,1)$ given by

$C_1$:$r(t)=ti+t^{2}j,0t1$

$C_2$:$r(t)=i+j+tk,0t1$

${\displaystyle \underset{C}{\overset{\phantom{}}{}}}(x+\sqrt[\phantom{2}]{y}-z^3)ds=$

$$

$($Type an exact answer.$)$