integral from 0 to 7 of |x-6|

Lösung

\int_{0}^{7} ∣ x - 6 ∣ d x

\frac{37}{2}

Dezimale

18.5

Schritte zur Lösung

\int_{0}^{7} ∣ x - 6 ∣ d x

Entferne die Extremwerte

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

\int_{0}^{6} - x + 6 d x = 18

\int_{6}^{7} x - 6 d x = \frac{1}{2}

= 18 + \frac{1}{2}

Vereinfache

18 + \frac{1}{2} : \frac{37}{2}

= \frac{37}{2}

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