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Beliebt Rechnen >

integral of (x+1)(x-1)

Lösung

\int (x + 1) (x - 1) d x

Lösung

\frac{x ^{3}}{3} - x + C

Schritte zur Lösung

\int (x + 1) (x - 1) d x

Multipliziere aus

(x + 1) (x - 1) : x^{2} - 1

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

\int x^{2} d x = \frac{x ^{3}}{3}

\int 1 d x = x

= \frac{x ^{3}}{3} - x

Füge eine Konstante zur Lösung hinzu

= \frac{x ^{3}}{3} - x + C

Graph

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