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

Lösung

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

15

Schritte zur Lösung

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

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

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

= - 3 + 18

Vereinfache

= 15

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