integral from 0 to 3 of |3x-8|

Lösung

\int_{0}^{3} ∣ 3 x - 8 ∣ d x

\frac{65}{6}

Dezimale

10.83333 \dots

Schritte zur Lösung

\int_{0}^{3} ∣ 3 x - 8 ∣ d x

Entferne die Extremwerte

= \int_{0}^{\frac{8}{3}} - 3 x + 8 d x + \int_{\frac{8}{3}}^{3} 3 x - 8 d x

\int_{0}^{\frac{8}{3}} - 3 x + 8 d x = \frac{32}{3}

\int_{\frac{8}{3}}^{3} 3 x - 8 d x = \frac{1}{6}

= \frac{32}{3} + \frac{1}{6}

Vereinfache

\frac{32}{3} + \frac{1}{6} : \frac{65}{6}

= \frac{65}{6}

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