integral from-5 to 10 of 5-|x|

Lösung

\int_{- 5}^{10} 5 - ∣ x ∣ d x

\frac{25}{2}

Dezimale

12.5

Schritte zur Lösung

\int_{- 5}^{10} 5 - ∣ x ∣ d x

Entferne die Extremwerte

= \int_{- 5}^{0} 5 - (- x) d x + \int_{0}^{10} 5 - x d x

\int_{- 5}^{0} 5 - (- x) d x = \frac{25}{2}

\int_{0}^{10} 5 - x d x = 0

= \frac{25}{2} + 0

Vereinfache

= \frac{25}{2}

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