integral from 0 to 7 of |x-5|

Lösung

\int_{0}^{7} ∣ x - 5 ∣ d x

\frac{29}{2}

Dezimale

14.5

Schritte zur Lösung

\int_{0}^{7} ∣ x - 5 ∣ d x

Entferne die Extremwerte

= \int_{0}^{5} - x + 5 d x + \int_{5}^{7} x - 5 d x

\int_{0}^{5} - x + 5 d x = \frac{25}{2}

\int_{5}^{7} x - 5 d x = 2

= \frac{25}{2} + 2

Vereinfache

\frac{25}{2} + 2 : \frac{29}{2}

= \frac{29}{2}

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