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Beliebt Rechnen >

integral of 3x^2+8x-9

Lösung

\int 3 x^{2} + 8 x - 9 d x

Lösung

x^{3} + 4 x^{2} - 9 x + C

Schritte zur Lösung

\int 3 x^{2} + 8 x - 9 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 3 x^{2} d x + \int 8 x d x - \int 9 d x

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

\int 8 x d x = 4 x^{2}

\int 9 d x = 9 x

= x^{3} + 4 x^{2} - 9 x

Füge eine Konstante zur Lösung hinzu

= x^{3} + 4 x^{2} - 9 x + C

Graph

Beliebte Beispiele

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\int (4^{x} - sec^{2} (x)) d x

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\int \frac{d}{1} (e^{- x} y) d x

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