integral from-1 to 3 of |3x-4|

Lösung

\int_{- 1}^{3} ∣ 3 x - 4 ∣ d x

\frac{37}{3}

Dezimale

12.33333 \dots

Schritte zur Lösung

\int_{- 1}^{3} ∣ 3 x - 4 ∣ d x

Entferne die Extremwerte

= \int_{- 1}^{\frac{4}{3}} - 3 x + 4 d x + \int_{\frac{4}{3}}^{3} 3 x - 4 d x

\int_{- 1}^{\frac{4}{3}} - 3 x + 4 d x = \frac{49}{6}

\int_{\frac{4}{3}}^{3} 3 x - 4 d x = \frac{25}{6}

= \frac{49}{6} + \frac{25}{6}

Vereinfache

\frac{49}{6} + \frac{25}{6} : \frac{37}{3}

= \frac{37}{3}

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