integral from-9 to 9 of |x|

Lösung

\int_{- 9}^{9} ∣ x ∣ d x

81

Schritte zur Lösung

\int_{- 9}^{9} ∣ x ∣ d x

Entferne die Extremwerte

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

\int_{- 9}^{0} - x d x = \frac{81}{2}

\int_{0}^{9} x d x = \frac{81}{2}

= \frac{81}{2} + \frac{81}{2}

Vereinfache

\frac{81}{2} + \frac{81}{2} : 81

= 81

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