Chapter 17, Problem 26RE

Evaluating line integrals Evaluate the line integral ${\displaystyle {\int }_{C}F\cdot dr}$ for the following vector fields F and curves C in two ways.

a.    By parameterizing C

b.    By using the Fundamental Theorem for line integrals, if possible

26.    F = 〈x, –y〉; C is the square with vertices (±1, ±1) with counterclockwise orientation.