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

Lösung

\int_{- 2}^{2} 2 - ∣ x ∣ d x

4

Schritte zur Lösung

\int_{- 2}^{2} 2 - ∣ x ∣ d x

Entferne die Extremwerte

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

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

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

= 2 + 2

Vereinfache

= 4

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