integral from-5 to 5 of ln(x+6)

Lösung

\int_{- 5}^{5} ln (x + 6) d x

11 ln (11) - 10

Dezimale

16.37684 \dots

Schritte zur Lösung

\int_{- 5}^{5} ln (x + 6) d x

Wende U-Substitution an

= \int_{1}^{11} ln (u) d u

Wende die partielle Integration an

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

\int 1 d u = u

= [u ln (u) - u]_{1}^{11}

Berechne die Grenzen:

11 ln (11) - 10

= 11 ln (11) - 10

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