integral from 2 to 7 of ln(1+x)

Lösung

\int_{2}^{7} ln (1 + x) d x

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

Dezimale

8.33969 \dots

Schritte zur Lösung

\int_{2}^{7} ln (1 + x) d x

Wende U-Substitution an

= \int_{3}^{8} ln (u) d u

Wende die partielle Integration an

= [u ln (u) - \int 1 d u]_{3}^{8}

\int 1 d u = u

= [u ln (u) - u]_{3}^{8}

Berechne die Grenzen:

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

= 24 ln (2) - 5 - 3 ln (3)

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