DLMF:6.7.E11 (Q2264)

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Language	Label	Description	Also known as
English	DLMF:6.7.E11	No description defined

Statements

Defining formula

{\displaystyle{\displaystyle\int_{0}^{1}\frac{(1-e^{-at})\cos\left(bt\right)}{% t}\mathrm{d}t=\Re\mathrm{Ein}\left(a+ib\right)-\mathrm{Cin}\left(b\right),}}

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DLMF:6.7.E11

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{\displaystyle{\displaystyle a,b\in\mathbb{R}}}

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complementary exponential integral

Defining formula

{\displaystyle{\displaystyle\mathrm{Ein}\left(\NVar{z}\right)}}

C6.S2.E3.m2acdec

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cosine function

Defining formula

{\displaystyle{\displaystyle\cos\NVar{z}}}

C4.S14.E2.m2acdec

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cosine integral

Defining formula

{\displaystyle{\displaystyle\mathrm{Cin}\left(\NVar{z}\right)}}

C6.S2.E12.m2aadec

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Defining formula

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

C1.S4.SS4.m1ajdec

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Defining formula

{\displaystyle{\displaystyle\in}}

introduction.Sx4.p1.t1.r10.m2addec

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base of natural logarithm

Defining formula

{\displaystyle{\displaystyle\mathrm{e}}}

C4.S2.E11.m2ajdec

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Defining formula

{\displaystyle{\displaystyle\mathrm{i}}}

C1.S9.E1.m2agdec

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Defining formula

{\displaystyle{\displaystyle\int}}

C1.S4.SS4.m3ajdec

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Defining formula

{\displaystyle{\displaystyle\Re}}

C1.S9.E2.m1aadec

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Defining formula

{\displaystyle{\displaystyle\mathbb{R}}}

introduction.Sx4.p2.t1.r14.m2addec

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