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Beliebt Rechnen >

integral of-x^2+4x+2

Lösung

\int - x^{2} + 4 x + 2 d x

Lösung

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

Schritte zur Lösung

\int - x^{2} + 4 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 x^{2} d x + \int 4 x d x + \int 2 d x

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

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

\int 2 d x = 2 x

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

Füge eine Konstante zur Lösung hinzu

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

Graph

Beliebte Beispiele

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\int x x^{2} + 6 x + 13 d x

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\int cos (4 x) e^{4 x} d x

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integral of x/(9+4x^2)

\int \frac{x}{9 + 4 x ^{2}} d x