integral from 2 to 5 of ln(x)

Lösung

\int_{2}^{5} ln (x) d x

5 ln (5) - 3 - 2 ln (2)

Dezimale

3.66089 \dots

Schritte zur Lösung

\int_{2}^{5} ln (x) d x

Wende die partielle Integration an

= [x ln (x) - \int 1 d x]_{2}^{5}

\int 1 d x = x

= [x ln (x) - x]_{2}^{5}

Berechne die Grenzen:

5 ln (5) - 3 - 2 ln (2)

= 5 ln (5) - 3 - 2 ln (2)

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