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Beliebt Rechnen >

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

Lösung

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

Lösung

- \frac{20}{3}

+1

Dezimale

- 6.66666 \dots

Schritte zur Lösung

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

\int_{- 3}^{2} x^{2} d x = \frac{35}{3}

\int_{- 3}^{2} 2 x d x = - 5

= - \frac{35}{3} - (- 5)

Vereinfache

- \frac{35}{3} - (- 5) : - \frac{20}{3}

= - \frac{20}{3}

Graph

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