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Line Integral · work in a vector field

Edit mode on — drag the gold handles to reshape the path. Click on the canvas to add a point (max 6).

Line Integral

W = work: how much the field pushes the particle along its path. Positive = the field helps; negative = the field fights.
field F(x,y)F = (1, 0)
path typeopen arc
work so far (W)—
total path work—
curl × area—
vector field F
path C & handles
field vector F at particle
tangent dr at particle
particle