integral from-1 to 1 of 3/2 x^2

Lösung

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

1

Schritte zur Lösung

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

Entferne die Konstante:

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

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

Wende die Potenzregel an

= \frac{3}{2} [\frac{x ^{3}}{3}]_{- 1}^{1}

Berechne die Grenzen:

\frac{2}{3}

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

Vereinfache

= 1

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