integral from 0 to 4 of |3t-7|

Lösung

\int_{0}^{4} ∣ 3 t - 7 ∣ d t

\frac{37}{3}

Dezimale

12.33333 \dots

Schritte zur Lösung

\int_{0}^{4} ∣ 3 t - 7 ∣ d t

Entferne die Extremwerte

= \int_{0}^{\frac{7}{3}} - 3 t + 7 d t + \int_{\frac{7}{3}}^{4} 3 t - 7 d t

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

\int_{\frac{7}{3}}^{4} 3 t - 7 d t = \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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