integral from-3 to 3 of-x^2

Lösung

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

- 18

Schritte zur Lösung

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

Entferne die Konstante:

\int a \cdot f (x) d x = a \cdot \int f (x) d x

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

Wende die Potenzregel an

= - [\frac{x ^{3}}{3}]_{- 3}^{3}

Berechne die Grenzen:

18

= - 18

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