Vector calculus

use green lemma to evaluate line integral int of (x^2-y^2)dx-4xydy over rgn bounded by y^2=4x,y=0,x=1 in ist quadrant.
attempt

double integral (dv/dx -du/dy)dx dy=int. from limit 0to 2(int.from 0to 2x^1/2(6ydxdy))
=int.lim 0to 2(12x^3/2)dy

=24/5(2^5/2)


ans in book is -2.
 

Dick

Science Advisor
Homework Helper
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I don't find that dv/dx-du/dy is 6y. Be careful with your signs.
 

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