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## Homework Statement

integrating a circle ,,

my main question is that, can we integrate it by contour integration technique ?

and if yes ,, would you plz show me how :) or just give me a hint :D

Thanks is advance :-)

## Homework Equations

y^2 + x^2 = a^2

where a= r

suppose that a = 2

## The Attempt at a Solution

i know that it can be done as two semicircles

taking a substitution x=2sin(u) ,, or even by integration by parts!!!

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