integral from 1/2 to 1 of 1/x

Lösung

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

ln (2)

Dezimale

0.69314 \dots

Schritte zur Lösung

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

Nutze das gemeinsame Integral :

\int \frac{1}{x} d x = ln (∣ x ∣)

= [ln ∣ x ∣]_{\frac{1}{2}}^{1}

Berechne die Grenzen:

ln (2)

= ln (2)

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