integral from-3 to 3 of (9x-4x^2)

Lösung

\int_{- 3}^{3} (9 x - 4 x^{2}) d x

- 72

Schritte zur Lösung

\int_{- 3}^{3} 9 x - 4 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} 9 x d x - \int_{- 3}^{3} 4 x^{2} d x

\int_{- 3}^{3} 9 x d x = 0

\int_{- 3}^{3} 4 x^{2} d x = 72

= 0 - 72

Vereinfache

= - 72

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