integral from 0 to 5 of |x-3|

Lösung

\int_{0}^{5} ∣ x - 3 ∣ d x

\frac{13}{2}

Dezimale

6.5

Schritte zur Lösung

\int_{0}^{5} ∣ x - 3 ∣ d x

Entferne die Extremwerte

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

\int_{0}^{3} - x + 3 d x = \frac{9}{2}

\int_{3}^{5} x - 3 d x = 2

= \frac{9}{2} + 2

Vereinfache

\frac{9}{2} + 2 : \frac{13}{2}

= \frac{13}{2}

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