# Integrals of vector functions

Can someone check my work and see if I am on the right track please?

the problem is:

if r(t) = <e^t, cost, sint> compute integral from pi to 0 of r(t)dt

so I split it into three integrals, and ended up with (e^(pi) - 1)i + (0)j + (2)k

does this sound right?

Thanks