integral from 0 to e^9 of ln(8x)

Lösung

\int_{0}^{e^{9}} ln (8 x) d x

3 e^{9} ln (2) + 8 e^{9}

Dezimale

81674.56075 \dots

Schritte zur Lösung

\int_{0}^{e^{9}} ln (8 x) d x

Wende die partielle Integration an

= [x ln (8 x) - \int 1 d x]_{0}^{e^{9}}

\int 1 d x = x

= [x ln (8 x) - x]_{0}^{e^{9}}

Berechne die Grenzen:

3 e^{9} ln (2) + 8 e^{9}

= 3 e^{9} ln (2) + 8 e^{9}

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