integral from 1 to 6 of 3/t

Lösung

\int_{1}^{6} \frac{3}{t} d t

3 ln (6)

Dezimale

5.37527 \dots

Schritte zur Lösung

\int_{1}^{6} \frac{3}{t} d t

Entferne die Konstante:

\int a \cdot f (x) d x = a \cdot \int f (x) d x

= 3 \cdot \int_{1}^{6} \frac{1}{t} d t

Nutze das gemeinsame Integral :

\int \frac{1}{t} d t = ln (∣ t ∣)

= 3 [ln ∣ t ∣]_{1}^{6}

Berechne die Grenzen:

ln (6)

= 3 ln (6)

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