integral from-2 to 2 of (7-|x|^3)

Lösung

\int_{- 2}^{2} (7 - ∣ x ∣^{3}) d x

20

Schritte zur Lösung

\int_{- 2}^{2} 7 - ∣ x ∣^{3} d x

Entferne die Extremwerte

= \int_{- 2}^{0} 7 - (- x)^{3} d x + \int_{0}^{2} 7 - x^{3} d x

\int_{- 2}^{0} 7 - (- x)^{3} d x = 10

\int_{0}^{2} 7 - x^{3} d x = 10

= 10 + 10

Vereinfache

= 20

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