integral from-2 to 1 of x-6|x|

Lösung

\int_{- 2}^{1} x - 6 ∣ x ∣ d x

- \frac{33}{2}

Dezimale

- 16.5

Schritte zur Lösung

\int_{- 2}^{1} x - 6 ∣ x ∣ d x

Entferne die Extremwerte

= \int_{- 2}^{0} x - 6 (- x) d x + \int_{0}^{1} x - 6 x d x

\int_{- 2}^{0} x - 6 (- x) d x = - 14

\int_{0}^{1} x - 6 x d x = - \frac{5}{2}

= - 14 - \frac{5}{2}

Vereinfache

- 14 - \frac{5}{2} : - \frac{33}{2}

= - \frac{33}{2}

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