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

Lösung

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

4

Schritte zur Lösung

\int_{- 2}^{2} 3 x^{2} - 3 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_{- 2}^{2} 3 x^{2} d x - \int_{- 2}^{2} 3 d x

\int_{- 2}^{2} 3 x^{2} d x = 16

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

= 16 - 12

Vereinfache

= 4

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