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

Lösung

\int_{- 2}^{3} ∣ 2 x ∣ x d x

\frac{38}{3}

Dezimale

12.66666 \dots

Schritte zur Lösung

\int_{- 2}^{3} ∣ 2 x ∣ x d x

Entferne die Extremwerte

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

\int_{- 2}^{0} (- 2 x) x d x = - \frac{16}{3}

\int_{0}^{3} 2 xx d x = 18

= - \frac{16}{3} + 18

Vereinfache

- \frac{16}{3} + 18 : \frac{38}{3}

= \frac{38}{3}

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