The Antiderivative of 1/x Is Ln(x), Not Ln |x
Posted3 months agoActive3 months ago
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The author argues that the antiderivative of 1/x should be considered as ln(x) rather than ln|x|, sparking a discussion on mathematical conventions and their implications.
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ln|x| + pi*i + C or ln|x| - pi*i + C or is x < 0 (Protip: Choose C=-+pi*i)
In reals ln|x| is fine.
In complex, it's a mess https://en.wikipedia.org/wiki/Complex_logarithm