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Beliebt Rechnen >

integral from 0 to 120 of 5.5(120-x)

Lösung

\int_{0}^{120} 5.5 (120 - x) d x

Lösung

39600

Schritte zur Lösung

\int_{0}^{120} 5.5 (120 - x) d x

Entferne die Konstante:

\int a \cdot f (x) d x = a \cdot \int f (x) d x

= 5.5 \cdot \int_{0}^{120} 120 - x d x

Wende die Summenregel an:

\int f (x) \pm g (x) d x = \int f (x) d x \pm \int g (x) d x

= 5.5 (\int_{0}^{120} 120 d x - \int_{0}^{120} x d x)

\int_{0}^{120} 120 d x = 14400

\int_{0}^{120} x d x = 7200

= 5.5 (14400 - 7200)

Vereinfache

= 39600

Graph

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