Difference between revisions of "Exponential integral E"

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The exponential integral is related to the [[logarithmic integral]] by the formula
 
The exponential integral is related to the [[logarithmic integral]] by the formula
 
$$\mathrm{li}(x)=\mathrm{Ei}( \log(x)).$$
 
$$\mathrm{li}(x)=\mathrm{Ei}( \log(x)).$$
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=Videos=
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[https://www.youtube.com/watch?v=TppV_yDY3EQ Laplace transform of exponential integral]<br />

Revision as of 05:05, 19 January 2015

The exponential integrals are $$\mathrm{Ei}(z) = \int_{-\infty}^x \dfrac{e^t}{t} dt; |\mathrm{arg}(-z)|<\pi$$ and The exponential integral is related to the logarithmic integral by the formula $$\mathrm{li}(x)=\mathrm{Ei}( \log(x)).$$

Videos

Laplace transform of exponential integral