integral from-3 to 3 of 27-3x^2

Lösung

\int_{- 3}^{3} 27 - 3 x^{2} d x

108

Schritte zur Lösung

\int_{- 3}^{3} 27 - 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_{- 3}^{3} 27 d x - \int_{- 3}^{3} 3 x^{2} d x

\int_{- 3}^{3} 27 d x = 162

\int_{- 3}^{3} 3 x^{2} d x = 54

= 162 - 54

Vereinfache

= 108

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