integral from-1 to 2 of (x^2-3)

Lösung

\int_{- 1}^{2} (x^{2} - 3) d x

- 6

Schritte zur Lösung

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

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

\int_{- 1}^{2} 3 d x = 9

= 3 - 9

Vereinfache

= - 6

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