integral from-L to L of x^2

Lösung

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

\frac{2 L ^{3}}{3}

Schritte zur Lösung

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

Wende die Potenzregel an

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

Berechne die Grenzen:

2 \cdot \frac{L ^{3}}{3}

= 2 \cdot \frac{L ^{3}}{3}

Vereinfache

= \frac{2 L ^{3}}{3}

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