integral from-2 to 1 of 6-x^2

Lösung

\int_{- 2}^{1} 6 - x^{2} d x

15

Schritte zur Lösung

\int_{- 2}^{1} 6 - 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_{- 2}^{1} 6 d x - \int_{- 2}^{1} x^{2} d x

\int_{- 2}^{1} 6 d x = 18

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

= 18 - 3

Vereinfache

= 15

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