Consider the curve (in the plane) formed by: the line

Last updated: 8/13/2022

Consider the curve (in the plane) formed by: the line segment from (2, 0) to (5,0), the part of the circle of radius 5 (about the origin) from (5,0) to (0, 5), the line segment from (0, 5) to (0,4), and the part of the parabola y = 4x² from (0, 4) to (2,0). Orient this curve so that the direction of travel on the first line segment is from (2,0) to (5,0). Let f(x, y) = In √x² + y². Calculate the flux of Vf across this curve (with the given orientation).