integral from 0 to 6 of 6x

Lösung

\int_{0}^{6} 6 x d x

108

Schritte zur Lösung

\int_{0}^{6} 6 x d x

Entferne die Konstante:

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

= 6 \cdot \int_{0}^{6} x d x

Wende die Potenzregel an

= 6 [\frac{x ^{2}}{2}]_{0}^{6}

Berechne die Grenzen:

18

= 6 \cdot 18

Vereinfache

= 108

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