integral from 10 to 100 of 1/x

Lösung

\int_{10}^{100} \frac{1}{x} d x

ln (10)

Dezimale

2.30258 \dots

Schritte zur Lösung

\int_{10}^{100} \frac{1}{x} d x

Nutze das gemeinsame Integral :

\int \frac{1}{x} d x = ln (∣ x ∣)

= [ln ∣ x ∣]_{10}^{100}

Berechne die Grenzen:

ln (10)

= ln (10)

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