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Beliebt Rechnen >

integral of ln(x)x^{-3}

Lösung

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

Lösung

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

Schritte zur Lösung

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

Vereinfache

ln (x) x^{- 3} : \frac{ln ( x )}{x ^{3}}

= \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

(\partial)/(\partial x)(x^2-6y)

\frac{\partial}{\partial x} (x^{2} - 6 y)

(- ln (2 x))^{^{'}}

tangent f(x)=x^2+1,\at x=2

t an g e n t f (x) = x^{2} + 1, at x = 2

integral of 12-x

\int 12 - x d x

limit as t approaches-1 of 1-2t

t \to - 1 lim (1 - 2 t)