integral from 3 to 6 of |2x-10|

Lösung

\int_{3}^{6} ∣ 2 x - 10 ∣ d x

5

Schritte zur Lösung

\int_{3}^{6} ∣ 2 x - 10 ∣ d x

Entferne die Extremwerte

= \int_{3}^{5} - 2 x + 10 d x + \int_{5}^{6} 2 x - 10 d x

\int_{3}^{5} - 2 x + 10 d x = 4

\int_{5}^{6} 2 x - 10 d x = 1

= 4 + 1

Vereinfache

= 5

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