Could anybody show me how I get the boundary conditions for this problem.

$\displaystyle \int F.dr$

for

$\displaystyle F=xzi+(y+z)j+xk$

along C given by

$\displaystyle x=t, y=t^2,z=t^3$

between (1,1,1) and (2,4,8)

I can do the integral but I don't know how the limits are t=0 to t=1 from the above ??