integral from-3 to 3 of |x|

Lösung

\int_{- 3}^{3} ∣ x ∣ d x

9

Schritte zur Lösung

\int_{- 3}^{3} ∣ x ∣ d x

Entferne die Extremwerte

= \int_{- 3}^{0} - x d x + \int_{0}^{3} x d x

\int_{- 3}^{0} - x d x = \frac{9}{2}

\int_{0}^{3} x d x = \frac{9}{2}

= \frac{9}{2} + \frac{9}{2}

Vereinfache

\frac{9}{2} + \frac{9}{2} : 9

= 9

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