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Work on a particle in an elleptic golf

aboo_s asked
Last Modified: 2015-03-01
A particle travels on an elliptic course x^2/4+y^2=1  (x,y>=0) from point A(0,1) to point B(2,0)
On it works the following force:
F=(1+xy)e^(xy) i + x^2e^(xy) j
Calculate work of the force .

Now I have this law:
W = Integral(AB) (1+xy)e^(xy) dx + x^2 e^(xy) dy   (see figure. beneath)
I have calculated the Integral as this:
w=1/y * e^(xy) + x*e^(xy)-e^(xy)+x*e^(xy)
the problem is when I insert y=0 I have division by zero ,so what am I doing wrong? how to go about this?
(I'm new to the subject!)
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