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

Lösung

\int_{- 4}^{4} ∣ x - 3 ∣ d x

25

Schritte zur Lösung

\int_{- 4}^{4} ∣ x - 3 ∣ d x

Entferne die Extremwerte

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

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

\int_{3}^{4} x - 3 d x = \frac{1}{2}

= \frac{49}{2} + \frac{1}{2}

Vereinfache

\frac{49}{2} + \frac{1}{2} : 25

= 25

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