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[math]
\int_{}^{} ln(sin(x)) (0)
\int_{}^{} ln( Im(\e^{ix}) ) (1)
Im( \int_{}^{} ln(\e^{ix}) (2)
Im( \int_{}^{} i·x) (3)
\x^{2} (4)
[/math]
Is going from (1) to (2) allowed? Like taking the Im() out of ln and integral. l was given this integral but apparently my result is wrong. Thanks in advance. Pic unrelated
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>>9160723
rip sorry about the espacing l wanted to put a new line for each (n)
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>>9160727
newline is a
\\
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>>9160723
[eqn] e^{i x} = \cos (x) + i \sin (x) \\ \implies \sin (x) = Im \left ( e^{ix{ [/eqn]Basically it's just taking the imaginary part of the complex number.
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>>9160723
can i get some sauce in the name of advanced mathcumatics please
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>>9160740
[eqn] e^{i x} = \cos (x) + i \sin (x) \\ \implies \sin (x) = Im \left ( e^{ix} \right ) [/eqn]I meant to do that.
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