Chapter 14.2, Problem 38E

Line integrals of vector fields in the plane Given the following vector fields and oriented curves C, evaluate ${\displaystyle \underset{C}{\int }F\cdot Tds}$.

38.     $F=\frac{\langle x,y\rangle }{x^2+y^2}$ on the line $r\left(t\right)=\langle t,4t\rangle$, for 1 ≤ t ≤ 10