Consider the following line integral, where C is the line segment from (2, 3) to (1, 4) (3x - 8y) d (5y - 8x) dy (a) Show that the line integral is path independent by finding a scalar potential function. f(x,y) - (b) Evaluate the integral along the oriented curve by any appropriate method.
Show transcribed image textConsider the following line integral, where C is the line segment from (2, 3) to (1, 4) (3x - 8y) d (5y - 8x) dy (a) Show that the line integral is path independent by finding a scalar potential function. f(x,y) - (b) Evaluate the integral along the oriented curve by any appropriate method.