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Beliebt Rechnen >

integral of 1-2x^2

Lösung

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

Lösung

x - \frac{2 x ^{3}}{3} + C

Schritte zur Lösung

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

\int 1 d x = x

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

= x - \frac{2 x ^{3}}{3}

Füge eine Konstante zur Lösung hinzu

= x - \frac{2 x ^{3}}{3} + C

Graph

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