integral from 1/10 to 11/10 of 1/x

Lösung

\int_{\frac{1}{10}}^{\frac{11}{10}} \frac{1}{x} d x

ln (11)

Dezimale

2.39789 \dots

Schritte zur Lösung

\int_{\frac{1}{10}}^{\frac{11}{10}} \frac{1}{x} d x

Nutze das gemeinsame Integral :

\int \frac{1}{x} d x = ln (∣ x ∣)

= [ln ∣ x ∣]_{\frac{1}{10}}^{\frac{11}{10}}

Berechne die Grenzen:

ln (\frac{11}{10}) + ln (10)

= ln (\frac{11}{10}) + ln (10)

Vereinfache

= ln (11)

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