integral from-1 to 2 of (9-x^2)

Lösung

\int_{- 1}^{2} (9 - x^{2}) d x

24

Schritte zur Lösung

\int_{- 1}^{2} 9 - 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}^{2} 9 d x - \int_{- 1}^{2} x^{2} d x

\int_{- 1}^{2} 9 d x = 27

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

= 27 - 3

Vereinfache

= 24

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