integral from 0 to 5 of 4|x-4|

Lösung

\int_{0}^{5} 4 ∣ x - 4 ∣ d x

34

Schritte zur Lösung

\int_{0}^{5} 4 ∣ x - 4 ∣ d x

Entferne die Extremwerte

= \int_{0}^{4} 4 (- x + 4) d x + \int_{4}^{5} 4 (x - 4) d x

\int_{0}^{4} 4 (- x + 4) d x = 32

\int_{4}^{5} 4 (x - 4) d x = 2

= 32 + 2

Vereinfache

= 34

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