integral from-1 to 1 of (3-3x^2)

Lösung

\int_{- 1}^{1} (3 - 3 x^{2}) d x

4

Schritte zur Lösung

\int_{- 1}^{1} 3 - 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_{- 1}^{1} 3 d x - \int_{- 1}^{1} 3 x^{2} d x

\int_{- 1}^{1} 3 d x = 6

\int_{- 1}^{1} 3 x^{2} d x = 2

= 6 - 2

Vereinfache

= 4

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