integral from-4 to 7 of |x|

Lösung

\int_{- 4}^{7} ∣ x ∣ d x

\frac{65}{2}

Dezimale

32.5

Schritte zur Lösung

\int_{- 4}^{7} ∣ x ∣ d x

Entferne die Extremwerte

= \int_{- 4}^{0} - x d x + \int_{0}^{7} x d x

\int_{- 4}^{0} - x d x = 8

\int_{0}^{7} x d x = \frac{49}{2}

= 8 + \frac{49}{2}

Vereinfache

8 + \frac{49}{2} : \frac{65}{2}

= \frac{65}{2}

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