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Beliebt Rechnen >

integral from 0 to 2 of x-x^2

Lösung

\int_{0}^{2} x - x^{2} d x

Lösung

- \frac{2}{3}

+1

Dezimale

- 0.66666 \dots

Schritte zur Lösung

\int_{0}^{2} x - 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_{0}^{2} x d x - \int_{0}^{2} x^{2} d x

\int_{0}^{2} x d x = 2

\int_{0}^{2} x^{2} d x = \frac{8}{3}

= 2 - \frac{8}{3}

Vereinfache

2 - \frac{8}{3} : - \frac{2}{3}

= - \frac{2}{3}

Graph

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