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keisanHigh-precision calculations for everyday life and work

Exponential integral Ei(x)

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Calculates the exponential integral Ei(x).
\(Ei(x)=-{\large\int_{\small -x}^{\small\infty}\frac{\large e^{-t}}{\large t}}dt\)
x 
\(\normalsize Exponential\ integral\ Ei(x)\\ (1)\ Ei(x)=-{\large\int_{\small -x}^{\small\infty}\frac{\large e^{-t}}{\large t}}dt\\ (2)\ Ei(x)=\gamma+\ln(x)+{\large\displaystyle \sum_{k=1}^{\infty}\frac{x^k}{kk!}} \hspace{20px} x>0\\\)

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