integral from 2 to 6 of (6-y^2)y

Lösung

\int_{2}^{6} (6 - y^{2}) y d y

- 224

Schritte zur Lösung

\int_{2}^{6} (6 - y^{2}) y d y

Multipliziere aus

(6 - y^{2}) y : 6 y - y^{3}

= \int_{2}^{6} 6 y - y^{3} 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_{2}^{6} 6 y d y - \int_{2}^{6} y^{3} d y

\int_{2}^{6} 6 y d y = 96

\int_{2}^{6} y^{3} d y = 320

= 96 - 320

Vereinfache

= - 224

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