Chapter 15.8, Problem 2QCE

We showed in Example 2 that the vector field

$\text{F}(x,y,z)=2z\text{i}+3x\text{j}+5y\text{k}$

satisfies the equation curl $\text{F}=5\text{i}+2\text{j}+3\text{k}.$ it follows from stokes’ Theorem that if C is any circle of a radius a in the xy-plane that is oriented counterclockwise when view from the positive z-axis, then

${\displaystyle \underset{c}{\int }\text{F}\text{.T}ds=\_\_\_\_\_}$

where T denotes the unit tangent vector to C.