integral from-6 to 5 of |x|

Lösung

\int_{- 6}^{5} ∣ x ∣ d x

\frac{61}{2}

Dezimale

30.5

Schritte zur Lösung

\int_{- 6}^{5} ∣ x ∣ d x

Entferne die Extremwerte

= \int_{- 6}^{0} - x d x + \int_{0}^{5} x d x

\int_{- 6}^{0} - x d x = 18

\int_{0}^{5} x d x = \frac{25}{2}

= 18 + \frac{25}{2}

Vereinfache

18 + \frac{25}{2} : \frac{61}{2}

= \frac{61}{2}

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