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Beliebt Rechnen >

integral of (ln(x))/(x^3)

Lösung

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

Lösung

- \frac{ln ( x )}{2 x ^{2}} - \frac{1}{4 x ^{2}} + C

Schritte zur Lösung

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

Wende die partielle Integration an

= - \frac{ln ( x )}{2 x ^{2}} - \int - \frac{1}{2 x ^{3}} d x

\int - \frac{1}{2 x ^{3}} d x = \frac{1}{4 x ^{2}}

= - \frac{ln ( x )}{2 x ^{2}} - \frac{1}{4 x ^{2}}

Füge eine Konstante zur Lösung hinzu

= - \frac{ln ( x )}{2 x ^{2}} - \frac{1}{4 x ^{2}} + C

Graph

Beliebte Beispiele

\frac{d u}{d u}

d v = cos (3 x) d x

integral of (4^u+ln(5^u))

\int (4^{u} + ln (5^{u})) d u

derivative of y^{3x}

\frac{d}{d x} (y^{3 x})

integral of (x^2-3)^3(2x)

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