1.
In
C
consider the square with vertices A(1,0),B(0,i),C(-1,0),D(0,-i).
a)
Show that the segment AB is homotopic in
C
-{0} to the small arc
AB of
the circle centered at (0,0) of radius 1.
b)
With
denoting
the boundary of the square, evaluate by two methods the
integrals
and
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