integral from 3 to 8 of ln(1+x)

Lösung

\int_{3}^{8} ln (1 + x) d x

18 ln (3) - 5 - 8 ln (2)

Dezimale

9.22984 \dots

Schritte zur Lösung

\int_{3}^{8} ln (1 + x) d x

Wende U-Substitution an

= \int_{4}^{9} ln (u) d u

Wende die partielle Integration an

= [u ln (u) - \int 1 d u]_{4}^{9}

\int 1 d u = u

= [u ln (u) - u]_{4}^{9}

Berechne die Grenzen:

18 ln (3) - 5 - 8 ln (2)

= 18 ln (3) - 5 - 8 ln (2)

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