"Surface integral" z = 4 - x^2 - y^2 F = (y,z,x) S = (x,y,z) z = quote(z) -- clear z for use by curl f = dot(curl(F),cross(d(S,x),d(S,y))) x = r cos(theta) y = r sin(theta) defint(f r,r,0,2,theta,0,2pi) "Line integral" x = 2 cos(t) y = 2 sin(t) z = 4 - x^2 - y^2 P = y Q = z R = x f = P d(x,t) + Q d(y,t) + R d(z,t) defint(f,t,0,2pi) Run