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Beliebt Rechnen >

integral of u^2-1

Lösung

\int u^{2} - 1 d u

Lösung

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

Schritte zur Lösung

\int u^{2} - 1 d u

Wende die Summenregel an:

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

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

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

\int 1 d u = u

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

Füge eine Konstante zur Lösung hinzu

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

Graph

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