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Beliebt Rechnen >

integral from 0 to 4 of 4y-y^2

Lösung

\int_{0}^{4} 4 y - y^{2} d y

Lösung

\frac{32}{3}

+1

Dezimale

10.66666 \dots

Schritte zur Lösung

\int_{0}^{4} 4 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}^{4} 4 y d y - \int_{0}^{4} y^{2} d y

\int_{0}^{4} 4 y d y = 32

\int_{0}^{4} y^{2} d y = \frac{64}{3}

= 32 - \frac{64}{3}

Vereinfache

32 - \frac{64}{3} : \frac{32}{3}

= \frac{32}{3}

Graph

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