Evaluating Vector Calculus Line Integral

[avinash patha]

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]

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