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Beliebt Rechnen >

integral of (ln(t))/t

Lösung

\int \frac{ln ( t )}{t} d t

Lösung

\frac{ln ^{2} ( t )}{2} + C

Schritte zur Lösung

\int \frac{ln ( t )}{t} d t

Wende U-Substitution an

= \int u d u

Wende die Potenzregel an

= \frac{u ^{2}}{2}

Setze in

u = ln (t)

ein

= \frac{ln ^{2} ( t )}{2}

Füge eine Konstante zur Lösung hinzu

= \frac{ln ^{2} ( t )}{2} + C

Graph

Beliebte Beispiele

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