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Beliebt Rechnen >

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

Lösung

\int_{- 2}^{1} (x - 8 ∣ x ∣) d x

Lösung

- \frac{43}{2}

+1

Dezimale

- 21.5

Schritte zur Lösung

\int_{- 2}^{1} x - 8 ∣ x ∣ d x

Entferne die Extremwerte

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

\int_{- 2}^{0} x - 8 (- x) d x = - 18

\int_{0}^{1} x - 8 x d x = - \frac{7}{2}

= - 18 - \frac{7}{2}

Vereinfache

- 18 - \frac{7}{2} : - \frac{43}{2}

= - \frac{43}{2}

Graph

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