integral from-1 to 3 of |2-x|

Lösung

\int_{- 1}^{3} ∣ 2 - x ∣ d x

5

Schritte zur Lösung

\int_{- 1}^{3} ∣ 2 - x ∣ d x

Entferne die Extremwerte

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

\int_{- 1}^{2} 2 - x d x = \frac{9}{2}

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

= \frac{9}{2} + \frac{1}{2}

Vereinfache

\frac{9}{2} + \frac{1}{2} : 5

= 5

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