Example 9-7-4 - Maple Help



Chapter 9: Vector Calculus



Section 9.7: Conservative and Solenoidal Fields



Example 9.7.4



 If $u\left(x,y\right)$ is a scalar potential for , show that ${\int }_{C}\mathbf{F}·\mathbf{dr}=u\left(Q\right)-u\left(P\right)$, where $C$ is that part of the parabola $y={x}^{2}$ between P and Q, the points $\left(-2,4\right)$, and $\left(2,4\right)$, respectively.