integral from 0 to 2 of 12-3x^2

Lösung

\int_{0}^{2} 12 - 3 x^{2} d x

16

Schritte zur Lösung

\int_{0}^{2} 12 - 3 x^{2} d x

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}^{2} 12 d x - \int_{0}^{2} 3 x^{2} d x

\int_{0}^{2} 12 d x = 24

\int_{0}^{2} 3 x^{2} d x = 8

= 24 - 8

Vereinfache

= 16

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