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Beliebt Rechnen >

integral of (9-x^2)/(x^2)

Lösung

\int \frac{9 - x ^{2}}{x ^{2}} d x

Lösung

- \frac{9}{x} - x + C

Schritte zur Lösung

\int \frac{9 - x ^{2}}{x ^{2}} d x

Multipliziere aus

\frac{9 - x ^{2}}{x ^{2}} : \frac{9}{x ^{2}} - 1

= \int \frac{9}{x ^{2}} - 1 d x

Wende die Summenregel an:

\int f (x) \pm g (x) d x = \int f (x) d x \pm \int g (x) d x

= \int \frac{9}{x ^{2}} d x - \int 1 d x

\int \frac{9}{x ^{2}} d x = - \frac{9}{x}

\int 1 d x = x

= - \frac{9}{x} - x

Füge eine Konstante zur Lösung hinzu

= - \frac{9}{x} - x + C

Graph

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