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Beliebt Rechnen >

integral of ln^3(x)

Lösung

\int ln^{3} (x) d x

Lösung

x ln^{3} (x) - 3 (x ln^{2} (x) - 2 (x ln (x) - x)) + C

Schritte zur Lösung

\int ln^{3} (x) d x

Wende die partielle Integration an

= x ln^{3} (x) - \int 3 ln^{2} (x) d x

\int 3 ln^{2} (x) d x = 3 (x ln^{2} (x) - 2 (x ln (x) - x))

= x ln^{3} (x) - 3 (x ln^{2} (x) - 2 (x ln (x) - x))

Füge eine Konstante zur Lösung hinzu

= x ln^{3} (x) - 3 (x ln^{2} (x) - 2 (x ln (x) - x)) + C

Graph

Beliebte Beispiele

limit as x approaches-3 of 1

x \to - 3 lim (1)

derivative of x^3*cos(x)

\frac{d}{d x} (x^{3} \cdot cos (x))

derivative of 1/2 xsin(x)

\frac{d}{d x} (\frac{1}{2} x sin (x))

integral of 9tsec^2(2t)

\int 9 t sec^{2} (2 t) d t

integral of 7sin^2(x)cos^3(x)

\int 7 sin^{2} (x) cos^{3} (x) d x