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Beliebt Rechnen >

integral from-3 to-1 of x^2-2x

Lösung

\int_{- 3}^{- 1} x^{2} - 2 x d x

Lösung

\frac{50}{3}

+1

Dezimale

16.66666 \dots

Schritte zur Lösung

\int_{- 3}^{- 1} x^{2} - 2 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_{- 3}^{- 1} x^{2} d x - \int_{- 3}^{- 1} 2 x d x

\int_{- 3}^{- 1} x^{2} d x = \frac{26}{3}

\int_{- 3}^{- 1} 2 x d x = - 8

= \frac{26}{3} - (- 8)

Vereinfache

\frac{26}{3} - (- 8) : \frac{50}{3}

= \frac{50}{3}

Graph

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