integral from 1 to 3x of ln(x)

Lösung

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

3 x ln (3 x) - 3 x + 1

Schritte zur Lösung

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

Wende die partielle Integration an

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

\int 1 d x = x

= [x ln (x) - x]_{1}^{3 x}

Berechne die Grenzen:

3 x ln (3 x) - 3 x + 1

= 3 x ln (3 x) - 3 x + 1

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