integral from b to a of 1/r

Lösung

\int_{b}^{a} \frac{1}{r} d r

ln ∣ a ∣ - ln ∣ b ∣

Schritte zur Lösung

\int_{b}^{a} \frac{1}{r} d r

Nutze das gemeinsame Integral :

\int \frac{1}{r} d r = ln (∣ r ∣)

= [ln ∣ r ∣]_{b}^{a}

Berechne die Grenzen:

ln ∣ a ∣ - ln ∣ b ∣

= ln ∣ a ∣ - ln ∣ b ∣

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