Sessions
1. Show that for all integers we have
.
2. Show that for all integers we have
3. By considering and equating real parts, show that
4. Do exercise 1) by setting .
5. Using an appropriate semicircle, integrate
by parts and show that
(Hint: Since where , let in the first integral to get the second.)
6. Show that
7. Show that
(Hint: Consider , where S is the square with vertices
.)
we have
we have
and
equating real parts, show that 
.
where
,
let
in the first integral to get the second.)
,
where S is the square with vertices