integral from-2 to 0 of (x^2-x)

Lösung

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

\frac{14}{3}

Dezimale

4.66666 \dots

Schritte zur Lösung

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

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

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

= \frac{8}{3} - (- 2)

Vereinfache

\frac{8}{3} - (- 2) : \frac{14}{3}

= \frac{14}{3}

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