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Beliebt Rechnen >

integral of ((ln(z))^6)/z

Lösung

\int \frac{( ln ( z ) ) ^{6}}{z} d z

Lösung

\frac{ln ^{7} ( z )}{7} + C

Schritte zur Lösung

\int \frac{( ln ( z ) ) ^{6}}{z} d z

Wende U-Substitution an

= \int u^{6} d u

Wende die Potenzregel an

= \frac{u ^{7}}{7}

Setze in

u = ln (z)

ein

= \frac{ln ^{7} ( z )}{7}

Füge eine Konstante zur Lösung hinzu

= \frac{ln ^{7} ( z )}{7} + C

Graph

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