integral from-3 to 6 of |x-4|

Lösung

\int_{- 3}^{6} ∣ x - 4 ∣ d x

\frac{53}{2}

Dezimale

26.5

Schritte zur Lösung

\int_{- 3}^{6} ∣ x - 4 ∣ d x

Entferne die Extremwerte

= \int_{- 3}^{4} - x + 4 d x + \int_{4}^{6} x - 4 d x

\int_{- 3}^{4} - x + 4 d x = \frac{49}{2}

\int_{4}^{6} x - 4 d x = 2

= \frac{49}{2} + 2

Vereinfache

\frac{49}{2} + 2 : \frac{53}{2}

= \frac{53}{2}

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