integral from 0 to 5 of |1-x|

Lösung

\int_{0}^{5} ∣ 1 - x ∣ d x

\frac{17}{2}

Dezimale

8.5

Schritte zur Lösung

\int_{0}^{5} ∣ 1 - x ∣ d x

Entferne die Extremwerte

= \int_{0}^{1} 1 - x d x + \int_{1}^{5} - 1 + x d x

\int_{0}^{1} 1 - x d x = \frac{1}{2}

\int_{1}^{5} - 1 + x d x = 8

= \frac{1}{2} + 8

Vereinfache

\frac{1}{2} + 8 : \frac{17}{2}

= \frac{17}{2}

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