DLMF:1.4.E17 (Q96)

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Language	Label	Description	Also known as
English	DLMF:1.4.E17	No description defined

Statements

Defining formula

{\displaystyle{\displaystyle\int x^{n}\mathrm{d}x=\begin{cases}\dfrac{x^{n+1}}% {n+1}+C,&\quad n\not=-1,\\ \ln\left|x\right|+C,&\quad n=-1.\end{cases}}}

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DLMF:1.4.E17

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Defining formula

{\displaystyle{\displaystyle\mathrm{d}\NVar{x}}}

C1.S4.SS4.m1aadec

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Defining formula

{\displaystyle{\displaystyle\int}}

C1.S4.SS4.m3aadec

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principal branch of logarithm function

Defining formula

{\displaystyle{\displaystyle\ln\NVar{z}}}

C4.S2.E2.m2adec

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Defining formula

{\displaystyle{\displaystyle n}}

C1.S1.XMD7.m1cdec

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Defining formula

{\displaystyle{\displaystyle C}}

C1.S4.XMD3.m1dec

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