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Beliebt Rechnen >

integral of 12x-12x^3

Lösung

\int 12 x - 12 x^{3} d x

Lösung

6 x^{2} - 3 x^{4} + C

Schritte zur Lösung

\int 12 x - 12 x^{3} 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 12 x d x - \int 12 x^{3} d x

\int 12 x d x = 6 x^{2}

\int 12 x^{3} d x = 3 x^{4}

= 6 x^{2} - 3 x^{4}

Füge eine Konstante zur Lösung hinzu

= 6 x^{2} - 3 x^{4} + C

Graph

Beliebte Beispiele

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\int (x + 1)^{10} (x + 5) d x

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