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Question: Bug(?) in LineInt with(VectorCalculus)

Question:Bug(?) in LineInt with(VectorCalculus)

SandorSzabo 607 Maple
input integral
June 03 2008
0

Hello,

with(VectorCalculus):

SetCoordinates( 'cartesian'[x,y] ):

[;LineInt\left( VectorField\left( \left< \frac{e^x \cos(y)-1}{e^{2x}-2 e^x\cos(y)+1}, \frac{e^x\sin(y)}{e^{2 x}-2 e^x\cos(y)+1} \right>\right), \, Circle(<0,0>,1)\right);]

and Maple11 says (!!)    

                                        [; I\pi;]

It astonished me, because the result must be real, and secondly, using the Green integral theorem

we obtain that the correct result is  0 !!

What is more interesting if I type

evalf(LineInt.....)

then the Maple's answer is the correct  0.

I think if Maple does not calculate the correct answer simbolically then it should give back the input and not

an absolutely  false result.

 

Sandor
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