(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Using a partial fraction decomposition, show that if z lies in the right half plane and C is the line segment from 0 to z, then

∫_{C}dz/(z^{2}+1) = i/2 Log(z+i) - i/2 Log(z-i) + π/2

2. Relevant equations

Log(z) = ln(z) + i Arg(z) (maybe relevant?????)

3. The attempt at a solution

∫_{C}dz/(z^{2}+1) = -1/2 ∫_{C}dz/(z+1) + 1/2 ∫_{C}dz/(z-1) = -1/2 Log(z+1) + 1/2 Log(z+1) .......... This isn't looking promising. Suggestions?

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# Complex Line Integral (should be easy)

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