yet another line integral problem :(

[mindy88]

i'm having so much trouble with this section

integrate f(x,y,z) = x+square root y - z^2 over the path from (0,0,0) to (1,1,1) given by

C1: r(t)=ti+t^2 j 0<t<1
C2: r(t)=i+j+tk 0<t<1

i can solve the C2 part, but i don't know what to do with the C1

 

[Opalg]

For C1, r(t) is the point (t,t^2,0). So you just have to evaluate the integral, from 0 to 1, of f(t,t^2,0)dt.