Chapter 15 - Topics In Vector Calculus - 15.3 Independence Of Path; Conservative Vector Fields - Exercises Set 15.3 - Page 1120: 25

Result : See proof

To solve this exercise, we used the software Wolfram Mathematica as a Computer Algebra System (CAS). Note that analytically the solution is \[ \int_C \vec{F} \cdot d\vec{r} = \ln(2) - 1 \approx -0.306853 \]