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Beliebt Rechnen >

integral from 0 to 60 of (60-y)^2

Lösung

\int_{0}^{60} (60 - y)^{2} d y

Lösung

72000

Schritte zur Lösung

\int_{0}^{60} (60 - y)^{2} d y

Multipliziere aus

(60 - y)^{2} : 3600 - 120 y + y^{2}

= \int_{0}^{60} 3600 - 120 y + y^{2} 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

= \int_{0}^{60} 3600 d y - \int_{0}^{60} 120 y d y + \int_{0}^{60} y^{2} d y

\int_{0}^{60} 3600 d y = 216000

\int_{0}^{60} 120 y d y = 216000

\int_{0}^{60} y^{2} d y = 72000

= 216000 - 216000 + 72000

Vereinfache

= 72000

Graph

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