Vector Calculus 2

The path is given by
r = t^3 i + t j + t^2 k for 1≦t≦2
dr/dt = 3t^2 i + j + 2t k

Work done
= ∫ F．dr
= ∫[1~2] (t^3 i -t j +t^2 k)．(3t^2 i + j + 2t k) dt
= ∫[1~2] (3t^5 -t +2t^3) dt
= 75/2