Formula:8235

Digital Library of Mathematical Functions ID 24.13.E8

${\displaystyle{\displaystyle\int_{0}^{1}E_{n}\left(t\right)\mathrm{d}t=-2\frac{E_{n+1}\left(0\right)}{n+1}=\frac{4(2^{n+2}-1)}{(n+1)(n+2)}B_{n+2},}}$

Symbols List

• ${\displaystyle{\displaystyle B_{\NVar{n}}}}$:
• ${\displaystyle{\displaystyle E_{\NVar{n}}\left(\NVar{x}\right)}}$:
• ${\displaystyle{\displaystyle\mathrm{d}\NVar{x}}}$: differential of x
• ${\displaystyle{\displaystyle\int}}$: integral
• ${\displaystyle{\displaystyle n}}$: integer
• ${\displaystyle{\displaystyle t}}$: real or complex
 

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