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## Main Question or Discussion Point

How do I take the real part of this

[itex] ln(e^{ix}+i) [/itex]

I know you can write the arctan(x) in terms of logs with complex numbers should I do something like that? I came across this because I was trying to integrate sec(x) with Eulers formula.

[itex] ln(e^{ix}+i) [/itex]

I know you can write the arctan(x) in terms of logs with complex numbers should I do something like that? I came across this because I was trying to integrate sec(x) with Eulers formula.