integral from 0 to 3 of |3x-7|

Lösung

\int_{0}^{3} ∣ 3 x - 7 ∣ d x

\frac{53}{6}

Dezimale

8.83333 \dots

Schritte zur Lösung

\int_{0}^{3} ∣ 3 x - 7 ∣ d x

Entferne die Extremwerte

= \int_{0}^{\frac{7}{3}} - 3 x + 7 d x + \int_{\frac{7}{3}}^{3} 3 x - 7 d x

\int_{0}^{\frac{7}{3}} - 3 x + 7 d x = \frac{49}{6}

\int_{\frac{7}{3}}^{3} 3 x - 7 d x = \frac{2}{3}

= \frac{49}{6} + \frac{2}{3}

Vereinfache

\frac{49}{6} + \frac{2}{3} : \frac{53}{6}

= \frac{53}{6}

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