integral from 0 to 8 of |4-x|

Lösung

\int_{0}^{8} ∣ 4 - x ∣ d x

16

Schritte zur Lösung

\int_{0}^{8} ∣ 4 - x ∣ d x

Entferne die Extremwerte

= \int_{0}^{4} 4 - x d x + \int_{4}^{8} - 4 + x d x

\int_{0}^{4} 4 - x d x = 8

\int_{4}^{8} - 4 + x d x = 8

= 8 + 8

Vereinfache

= 16

\int_{2}^{4} (4 x^{2}) d x

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