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Beliebt Rechnen >

integral of 100-x^2

Lösung

\int 100 - x^{2} d x

Lösung

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

Schritte zur Lösung

\int 100 - x^{2} 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 100 d x - \int x^{2} d x

\int 100 d x = 100 x

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

= 100 x - \frac{x ^{3}}{3}

Füge eine Konstante zur Lösung hinzu

= 100 x - \frac{x ^{3}}{3} + C

Graph

Beliebte Beispiele

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