integral from 0 to 2 of 6x^5

Lösung

\int_{0}^{2} 6 x^{5} d x

64

Schritte zur Lösung

\int_{0}^{2} 6 x^{5} d x

Entferne die Konstante:

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

= 6 \cdot \int_{0}^{2} x^{5} d x

Wende die Potenzregel an

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

Berechne die Grenzen:

\frac{32}{3}

= 6 \cdot \frac{32}{3}

Vereinfache

= 64

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