[–] NoahZuniga 9mo ago ↗ Sir what you wrote down is equivalent to integral 1/x = ln|x| if x > 0 else ln|x| + pi*i [–] gus_massa 9mo ago ↗ 1/x = ln|x| + C if x > 0ln|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
[–] gus_massa 9mo ago ↗ 1/x = ln|x| + C if x > 0ln|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
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[ 3.1 ms ] story [ 15.1 ms ] threadln|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