How Do You Calculate a 3D Line Integral Along Multiple Paths?

[extreme2000]

Dear Users
Please help me in starting this problem I have tried my best but all in vain
Calculate line integral v=X^2{x(Cap)}+2yz{y(Cap)}+y^2{z(Cap)} from origion to point
(1,1,1) by three different routes
(a) (0,0,0)→(1,0,0)→(1,1,0)→(1,1,1)
Now there are three parts in this problem.I want help in what will I consider the limit in 3D case because in example of the line integral of the book (Introducation to Electrodynamics by Griffiths) there is 2D example solved so I want a little help about this part I will do the other 2 parts myself but need help in first part
Thanks

 

[Astronuc]

Does v look like -
$$v\,=\,x^2\,\hat{x}+2yz\,\hat{y}+y^2\,\hat{z}$$?