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Beliebt Rechnen >

integral from-1 to 2 of (x-8|x|)

Lösung

\int_{- 1}^{2} (x - 8 ∣ x ∣) d x

Lösung

- \frac{37}{2}

+1

Dezimale

- 18.5

Schritte zur Lösung

\int_{- 1}^{2} x - 8 ∣ x ∣ d x

Entferne die Extremwerte

= \int_{- 1}^{0} x - 8 (- x) d x + \int_{0}^{2} x - 8 x d x

\int_{- 1}^{0} x - 8 (- x) d x = - \frac{9}{2}

\int_{0}^{2} x - 8 x d x = - 14

= - \frac{9}{2} - 14

Vereinfache

- \frac{9}{2} - 14 : - \frac{37}{2}

= - \frac{37}{2}

Graph

Beliebte Beispiele

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