integral from-2 to 7 of (-|x|)

Lösung

\int_{- 2}^{7} (- ∣ x ∣) d x

- \frac{53}{2}

Dezimale

- 26.5

Schritte zur Lösung

\int_{- 2}^{7} - ∣ x ∣ d x

Entferne die Extremwerte

= \int_{- 2}^{0} - (- x) d x + \int_{0}^{7} - x d x

\int_{- 2}^{0} - (- x) d x = - 2

\int_{0}^{7} - x d x = - \frac{49}{2}

= - 2 - \frac{49}{2}

Vereinfache

- 2 - \frac{49}{2} : - \frac{53}{2}

= - \frac{53}{2}

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