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Beliebt Rechnen >

integral from 0 to 5 of |9-3t|

Lösung

\int_{0}^{5} ∣ 9 - 3 t ∣ d t

Lösung

\frac{39}{2}

+1

Dezimale

19.5

Schritte zur Lösung

\int_{0}^{5} ∣ 9 - 3 t ∣ d t

Entferne die Extremwerte

= \int_{0}^{3} 9 - 3 t d t + \int_{3}^{5} - 9 + 3 t d t

\int_{0}^{3} 9 - 3 t d t = \frac{27}{2}

\int_{3}^{5} - 9 + 3 t d t = 6

= \frac{27}{2} + 6

Vereinfache

\frac{27}{2} + 6 : \frac{39}{2}

= \frac{39}{2}

Graph

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