integral from 1 to 5 of |4x-8|

Lösung

\int_{1}^{5} ∣ 4 x - 8 ∣ d x

20

Schritte zur Lösung

\int_{1}^{5} ∣ 4 x - 8 ∣ d x

Entferne die Extremwerte

= \int_{1}^{2} - 4 x + 8 d x + \int_{2}^{5} 4 x - 8 d x

\int_{1}^{2} - 4 x + 8 d x = 2

\int_{2}^{5} 4 x - 8 d x = 18

= 2 + 18

Vereinfache

= 20

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