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Beliebt Rechnen >

integral of (x')/(x^2)

Lösung

\int \frac{x ^{'}}{x ^{2}} d x

Lösung

\frac{x '}{x} - \frac{2}{x} + C

Schritte zur Lösung

\int \frac{x ^{'}}{x ^{2}} d x

\frac{x ^{'}}{x ^{2}} = (x^{'}) \frac{1}{x ^{2}}

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

Wende die partielle Integration an

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

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

= \frac{x ^{^{'}}}{x} - \frac{2}{x}

Füge eine Konstante zur Lösung hinzu

= \frac{x ^{^{'}}}{x} - \frac{2}{x} + C

Graph

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