integral from 1 to 2 of e^{-ln(x)}

Lösung

\int_{1}^{2} e^{- l n (x)} d x

ln (2)

Dezimale

0.69314 \dots

Schritte zur Lösung

\int_{1}^{2} e^{- l n (x)} d x

Vereinfache

e^{- l n (x)} : \frac{1}{x}

= \int_{1}^{2} \frac{1}{x} d x

Nutze das gemeinsame Integral :

\int \frac{1}{x} d x = ln (∣ x ∣)

= [ln ∣ x ∣]_{1}^{2}

Berechne die Grenzen:

ln (2)

= ln (2)

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