integral from 0 to 3 of 8-2x^2

Lösung

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

6

Schritte zur Lösung

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

\int_{0}^{3} 8 d x = 24

\int_{0}^{3} 2 x^{2} d x = 18

= 24 - 18

Vereinfache

= 6

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