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Please see attached question from Complex Analysis. Thank you for your help.

Please see attached question from Complex Analysis.  Thank you for your help.

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INTEGRAL COM.docx

Ans :−¿
2π Let I =∫
0 Si n2 θ

5+4 Cosθ 1
put z=e iθ =Cosθ+iSinθ=¿ =e−iθ
z
¿>Cosθ= ( eiθ +e−iθ ) 1
( e iθ −e−iθ ) 1
1
1
= z+ ∧Sinθ=
=
z− ¿>Cosθ= 1 2
( z +...

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