integral from-2 to 2 of |x|-x

Lösung

\int_{- 2}^{2} ∣ x ∣ - x d x

4

Schritte zur Lösung

\int_{- 2}^{2} ∣ x ∣ - x d x

Entferne die Extremwerte

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

\int_{- 2}^{0} - x - x d x = 4

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

= 4 + 0

Vereinfache

= 4

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