integral from-4 to 4 of |x+1|

Lösung

\int_{- 4}^{4} ∣ x + 1 ∣ d x

17

Schritte zur Lösung

\int_{- 4}^{4} ∣ x + 1 ∣ d x

Entferne die Extremwerte

= \int_{- 4}^{- 1} - x - 1 d x + \int_{- 1}^{4} x + 1 d x

\int_{- 4}^{- 1} - x - 1 d x = \frac{9}{2}

\int_{- 1}^{4} x + 1 d x = \frac{25}{2}

= \frac{9}{2} + \frac{25}{2}

Vereinfache

\frac{9}{2} + \frac{25}{2} : 17

= 17

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