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Beliebt Rechnen >

integral of 6x^2+6x

Lösung

\int 6 x^{2} + 6 x d x

Lösung

2 x^{3} + 3 x^{2} + C

Schritte zur Lösung

\int 6 x^{2} + 6 x 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 6 x^{2} d x + \int 6 x d x

\int 6 x^{2} d x = 2 x^{3}

\int 6 x d x = 3 x^{2}

= 2 x^{3} + 3 x^{2}

Füge eine Konstante zur Lösung hinzu

= 2 x^{3} + 3 x^{2} + C

Graph

Beliebte Beispiele

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\int \frac{1}{x + 2 x} d x

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\int (x^{3} - x) e^{x} d x

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\int \frac{x - 3}{x ^{2} - 2 x + 1} d x