integral from 0 to 1 of ln(x+10)

Lösung

\int_{0}^{1} ln (x + 10) d x

11 ln (11) - 1 - 10 ln (10)

Dezimale

2.35099 \dots

Schritte zur Lösung

\int_{0}^{1} ln (x + 10) d x

Wende U-Substitution an

= \int_{10}^{11} ln (u) d u

Wende die partielle Integration an

= [u ln (u) - \int 1 d u]_{10}^{11}

\int 1 d u = u

= [u ln (u) - u]_{10}^{11}

Berechne die Grenzen:

11 ln (11) - 1 - 10 ln (10)

= 11 ln (11) - 1 - 10 ln (10)

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