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Beliebt Rechnen >

integral from 0 to 2 of |1-x|

Lösung

\int_{0}^{2} ∣ 1 - x ∣ d x

Lösung

1

Schritte zur Lösung

\int_{0}^{2} ∣ 1 - x ∣ d x

Entferne die Extremwerte

= \int_{0}^{1} 1 - x d x + \int_{1}^{2} - 1 + x d x

\int_{0}^{1} 1 - x d x = \frac{1}{2}

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

= \frac{1}{2} + \frac{1}{2}

Vereinfache

\frac{1}{2} + \frac{1}{2} : 1

= 1

Graph

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