integral from-3 to 2 of (-3|x|)

Lösung

\int_{- 3}^{2} (- 3 ∣ x ∣) d x

- \frac{39}{2}

Dezimale

- 19.5

Schritte zur Lösung

\int_{- 3}^{2} - 3 ∣ x ∣ d x

Entferne die Extremwerte

= \int_{- 3}^{0} - 3 (- x) d x + \int_{0}^{2} - 3 x d x

\int_{- 3}^{0} - 3 (- x) d x = - \frac{27}{2}

\int_{0}^{2} - 3 x d x = - 6

= - \frac{27}{2} - 6

Vereinfache

- \frac{27}{2} - 6 : - \frac{39}{2}

= - \frac{39}{2}

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