integral from 51 to 100 of 1/x

Lösung

\int_{51}^{100} \frac{1}{x} d x

2 ln (10) - ln (51)

Dezimale

0.67334 \dots

Schritte zur Lösung

\int_{51}^{100} \frac{1}{x} d x

Nutze das gemeinsame Integral :

\int \frac{1}{x} d x = ln (∣ x ∣)

= [ln ∣ x ∣]_{51}^{100}

Berechne die Grenzen:

2 ln (10) - ln (51)

= 2 ln (10) - ln (51)

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