integral from-5 to 3 of |x-1|

Lösung

\int_{- 5}^{3} ∣ x - 1 ∣ d x

20

Schritte zur Lösung

\int_{- 5}^{3} ∣ x - 1 ∣ d x

Entferne die Extremwerte

= \int_{- 5}^{1} - x + 1 d x + \int_{1}^{3} x - 1 d x

\int_{- 5}^{1} - x + 1 d x = 18

\int_{1}^{3} x - 1 d x = 2

= 18 + 2

Vereinfache

= 20

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