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Fungrim entry: c77f9a

1zdz=log(z)+C\int \frac{1}{z} \, dz = \log(z) + \mathcal{C}
Assumptions:zC(,0]z \in \mathbb{C} \setminus \left(-\infty, 0\right]
TeX:
\int \frac{1}{z} \, dz = \log(z) + \mathcal{C}

z \in \mathbb{C} \setminus \left(-\infty, 0\right]
Definitions:
Fungrim symbol Notation Short description
ComplexIndefiniteIntegralEqualf(x)dx=g(x)+C\int f(x) \, dx = g(x) + \mathcal{C} Indefinite integral, complex derivative
Loglog(z)\log(z) Natural logarithm
CCC\mathbb{C} Complex numbers
OpenClosedInterval(a,b]\left(a, b\right] Open-closed interval
Infinity\infty Positive infinity
Source code for this entry:
Entry(ID("c77f9a"),
    Formula(ComplexIndefiniteIntegralEqual(Div(1, z), Log(z), z)),
    Variables(z),
    Assumptions(Element(z, SetMinus(CC, OpenClosedInterval(Neg(Infinity), 0)))))

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Copyright (C) Fredrik Johansson and contributors. Fungrim is provided under the MIT license. The source code is on GitHub.

2019-12-30 15:00:46.909060 UTC