integral from-1 to 1 of x^3-3x-3

Lösung

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

- 6

Schritte zur Lösung

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

\int_{- 1}^{1} x^{3} d x = 0

\int_{- 1}^{1} 3 x d x = 0

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

= 0 - 0 - 6

Vereinfache

= - 6

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