$\displaystyle \int (1/1+t^2)i+sec^2(t)j+(te^-^t)k$

How do you treat i, j, and k? what about t? I assume you break this into three integrals, and I think you pull out the i, j, and k, but what from there?

Is the first integral arctan(t)i

and the second tan(t)j?

what about the third? not sure how to go about it.