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Beliebt Rechnen >

integral from 0 to 50 of 9.8(500-10y)

Lösung

\int_{0}^{50} 9.8 (500 - 10 y) d y

Lösung

122500

Schritte zur Lösung

\int_{0}^{50} 9.8 (500 - 10 y) d y

Entferne die Konstante:

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

= 9.8 \cdot \int_{0}^{50} 500 - 10 y d y

Wende die Summenregel an:

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

= 9.8 (\int_{0}^{50} 500 d y - \int_{0}^{50} 10 y d y)

\int_{0}^{50} 500 d y = 25000

\int_{0}^{50} 10 y d y = 12500

= 9.8 (25000 - 12500)

Vereinfache

= 122500

Graph

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