Assume that x, y E R and z = x+ iy e C and answer the...

 

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Assume that x, y E R and z = x+ iy e C and answer the followings. Calculate the reel integrals for a given countours. (Hint: Firstl consider complex form of integral For example : In section a, Sdz, show that f ..) = I and S.) = 0 . For S. .), find the relationship between S .) and I by using z=R et0 transform .Finally find the I thanks to 2ni EResidue = S.ctc(..)) 3+1 C2 C3 a- l= o dx -dp- x=0 x3+1 120° R Figure of section a xp. x=0 x4+1 Figure of sectionb Assume that x, y E R and z = x+ iy e C and answer the followings. Calculate the reel integrals for a given countours. (Hint: Firstl consider complex form of integral For example : In section a, Sdz, show that f ..) = I and S.) = 0 . For S. .), find the relationship between S .) and I by using z=R et0 transform .Finally find the I thanks to 2ni EResidue = S.ctc(..)) 3+1 C2 C3 a- l= o dx -dp- x=0 x3+1 120° R Figure of section a xp. x=0 x4+1 Figure of sectionb