integral from-3 to 3 of (x^2+6x)

Lösung

\int_{- 3}^{3} (x^{2} + 6 x) d x

18

Schritte zur Lösung

\int_{- 3}^{3} x^{2} + 6 x 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} x^{2} d x + \int_{- 3}^{3} 6 x d x

\int_{- 3}^{3} x^{2} d x = 18

\int_{- 3}^{3} 6 x d x = 0

= 18 + 0

Vereinfache

= 18

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