Q/? x=(2/y)[1/(1 x^2/y^2)](1/y)=2/[(x^2 y^2)]
P/? y=(1/x)[1/(1 y^2/x^2)](1/x)=1/[(x^2 y^2)]
∮(c) (1/x)arctan(y/x)dx 2/yarctan(x/y)dy=∫∫(d)(?Q/?x-?P/?y)dxdy=∫∫(d)1/[ (x^2 y^2)]dxdy
=∫(π/4.π/3)dθ∫(1,2)(1/r^2)rdr=[(π/3) -(π/4)]lnr︱(1,2)=πLN2/12
Q/? x=(2/y)[1/(1 x^2/y^2)](1/y)=2/[(x^2 y^2)]
P/? y=(1/x)[1/(1 y^2/x^2)](1/x)=1/[(x^2 y^2)]
∮(c) (1/x)arctan(y/x)dx 2/yarctan(x/y)dy=∫∫(d)(?Q/?x-?P/?y)dxdy=∫∫(d)1/[ (x^2 y^2)]dxdy
=∫(π/4.π/3)dθ∫(1,2)(1/r^2)rdr=[(π/3) -(π/4)]lnr︱(1,2)=πLN2/12