integral from-1 to 2 of 6x^2

Lösung

\int_{- 1}^{2} 6 x^{2} d x

18

Schritte zur Lösung

\int_{- 1}^{2} 6 x^{2} d x

Entferne die Konstante:

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

= 6 \cdot \int_{- 1}^{2} x^{2} d x

Wende die Potenzregel an

= 6 [\frac{x ^{3}}{3}]_{- 1}^{2}

Berechne die Grenzen:

3

= 6 \cdot 3

Vereinfache

= 18

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