Example 9-7-10 - Maple Help



Chapter 9: Vector Calculus



Section 9.7: Conservative and Solenoidal Fields



Example 9.7.10



 If $u\left(x,y,z\right)$ is a scalar potential for        show that ${\int }_{C}\mathbf{F}·\mathbf{dr}=u\left(Q\right)-u\left(P\right)$, where $C$ is given parametrically by the equations , , $z=2+{t}^{3}$, and P and Q are its endpoints when $t=0,1$, respectively.