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Beliebt Rechnen >

integral from-1 to 3 of 30-3y^2-9/2

Lösung

\int_{- 1}^{3} 30 - 3 y^{2} - \frac{9}{2} d y

Lösung

74

Schritte zur Lösung

\int_{- 1}^{3} 30 - 3 y^{2} - \frac{9}{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_{- 1}^{3} 30 d y - \int_{- 1}^{3} 3 y^{2} d y - \int_{- 1}^{3} \frac{9}{2} d y

\int_{- 1}^{3} 30 d y = 120

\int_{- 1}^{3} 3 y^{2} d y = 28

\int_{- 1}^{3} \frac{9}{2} d y = 18

= 120 - 28 - 18

Vereinfache

= 74

Graph

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