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Beliebt Rechnen >

integral of 1/(x^2)ln(x)

Lösung

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

Lösung

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

Schritte zur Lösung

\int \frac{1}{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

d/(dy)((ln(y))/(2sqrt(y))+1/(sqrt(y)))

\frac{d}{d y} (\frac{ln ( y )}{2 y} + \frac{1}{y})

limit as x approaches-2 of-10

x \to - 2 lim (- 10)

xy^'+y=y^2,y(1)=-9

x y^{^{'}} + y = y^{2}, y (1) = - 9

derivative of cosh(3x)

\frac{d}{d x} (cosh (3 x))

integral of rsin(r^2)

\int r sin (r^{2}) d r