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Beliebt Rechnen >

integral of (-x^2-x+2)

Lösung

\int (- x^{2} - x + 2) d x

Lösung

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

Schritte zur Lösung

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

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

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

\int 2 d x = 2 x

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

Füge eine Konstante zur Lösung hinzu

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

Graph

Beliebte Beispiele

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\int (2 x^{3} + 5 x^{2} - 3 x + 1) ln (x) d x

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

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\int e^{- 2 y} (1 + e^{- 2 y})^{\frac{5}{2}} d y

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\int t^{2} sin (B) t d t