Question: Use Green's theorem to evaluate o C ( l n ( x 2 ) + x y 2 - 6 x y ) d x

Use Green's theorem to evaluate
oC(ln(x2)+xy2-6xy)dx+(y3+x2y+x2)dy,
where C is the boundary of a region bounded by (x-1)2+y2=1,y=x and the x-axis oriented in the anticlockwise manner.

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