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Beliebt Rechnen >

integral of x^{-2}ln(x)

Lösung

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

Lösung

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

Schritte zur Lösung

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

Wende die partielle Integration an

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

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

= - \frac{ln ( x )}{x} - \frac{1}{x}

Füge eine Konstante zur Lösung hinzu

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

Graph

Beliebte Beispiele

tangent y=(x+1)/(5-x),(7,-4)

t an g e n t y = \frac{x + 1}{5 - x}, (7, - 4)

limit as x approaches-2 of (x+1)/(x+2)

x \to - 2 lim (\frac{x + 1}{x + 2})

fläche y=sqrt(x),y=0,x=25

a re a y = x, y = 0, x = 25

derivative sqrt(7x+4)

d er i v a t i v e 7 x + 4

integral from 1 to 2 of (x-1)^2

\int_{1}^{2} (x - 1)^{2} d x