integral from 1 to 3x of ln(t)

Lösung

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

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

Schritte zur Lösung

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

Wende die partielle Integration an

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

\int 1 d t = t

= [t ln (t) - t]_{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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