integral from 1 to 10 of 1/(x-1)

Lösung

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

divergiert

Schritte zur Lösung

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

Wende U-Substitution an

= \int_{0}^{9} \frac{1}{u} d u

Nutze das gemeinsame Integral :

\int \frac{1}{u} d u = ln (∣ u ∣)

= [ln ∣ u ∣]_{0}^{9}

Berechne die Grenzen:

divergiert

= divergiert

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