integral from 0 to 5 of |3t-8|

Lösung

\int_{0}^{5} ∣ 3 t - 8 ∣ d t

\frac{113}{6}

Dezimale

18.83333 \dots

Schritte zur Lösung

\int_{0}^{5} ∣ 3 t - 8 ∣ d t

Entferne die Extremwerte

= \int_{0}^{\frac{8}{3}} - 3 t + 8 d t + \int_{\frac{8}{3}}^{5} 3 t - 8 d t

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

\int_{\frac{8}{3}}^{5} 3 t - 8 d t = \frac{49}{6}

= \frac{32}{3} + \frac{49}{6}

Vereinfache

\frac{32}{3} + \frac{49}{6} : \frac{113}{6}

= \frac{113}{6}

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