integral from-4 to 4 of (7-|x|)

Lösung

\int_{- 4}^{4} (7 - ∣ x ∣) d x

40

Schritte zur Lösung

\int_{- 4}^{4} 7 - ∣ x ∣ d x

Entferne die Extremwerte

= \int_{- 4}^{0} 7 - (- x) d x + \int_{0}^{4} 7 - x d x

\int_{- 4}^{0} 7 - (- x) d x = 20

\int_{0}^{4} 7 - x d x = 20

= 20 + 20

Vereinfache

= 40

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