integral from 1 to infinity of e^{1/x}

Lösung

\int_{1}^{\infty} e^{\frac{1}{x}} d x

divergiert

Schritte zur Lösung

\int_{1}^{\infty} e^{\frac{1}{x}} d x

Berechne das unbestimmte Integral:

\int e^{\frac{1}{x}} d x = e^{\frac{1}{x}} x - Ei (\frac{1}{x}) + C

Berechne die Grenzen:

\int_{1}^{\infty} e^{\frac{1}{x}} d x =

divergiert

= divergiert

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