If $\displaystyle C$ is the curve given by $\displaystyle r(t)=(1+5sin{t}){i}+(1+2sin^2{t}){j}+(1+5sin^3{t}) {k}$ and $\displaystyle 0\leq t\leq \frac{\pi}{2}$ and $\displaystyle F$ is the radial vector field $\displaystyle F(x,y,z)=x{i}+y{j}+z{k}$, How do you compute the work done by $\displaystyle F$ on a particle moving along $\displaystyle C$