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Beliebt Rechnen >

integral of ln^2(1/x)

Lösung

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

Lösung

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

Schritte zur Lösung

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

Wende die partielle Integration an

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

\int 2 ln (x) d x = 2 (x ln (x) - x)

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

Füge eine Konstante zur Lösung hinzu

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

Graph

Beliebte Beispiele

integral of (x+1)/(x^2+x-2)

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

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\int x^{5} \cdot e^{2 x^{3}} d x

integral of (z^2)/(e^{-z^3)}

\int \frac{z ^{2}}{e ^{- z^{3}}} d z