integral from 0 to 2 of-3x^2

Lösung

\int_{0}^{2} - 3 x^{2} d x

- 8

Schritte zur Lösung

\int_{0}^{2} - 3 x^{2} d x

Entferne die Konstante:

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

= - 3 \cdot \int_{0}^{2} x^{2} d x

Wende die Potenzregel an

= - 3 [\frac{x ^{3}}{3}]_{0}^{2}

Berechne die Grenzen:

\frac{8}{3}

= - 3 \cdot \frac{8}{3}

Vereinfache

= - 8

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