integral from 0 to 20 of |x-10|

Lösung

\int_{0}^{20} ∣ x - 10 ∣ d x

100

Schritte zur Lösung

\int_{0}^{20} ∣ x - 10 ∣ d x

Entferne die Extremwerte

= \int_{0}^{10} - x + 10 d x + \int_{10}^{20} x - 10 d x

\int_{0}^{10} - x + 10 d x = 50

\int_{10}^{20} x - 10 d x = 50

= 50 + 50

Vereinfache

= 100

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