integral from-1 to 2 of |x|

Lösung

\int_{- 1}^{2} ∣ x ∣ d x

\frac{5}{2}

Dezimale

2.5

Schritte zur Lösung

\int_{- 1}^{2} ∣ x ∣ d x

Entferne die Extremwerte

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

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

\int_{0}^{2} x d x = 2

= \frac{1}{2} + 2

Vereinfache

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

= \frac{5}{2}

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