integral from 0 to 1 of 5x^5

Lösung

\int_{0}^{1} 5 x^{5} d x

\frac{5}{6}

Dezimale

0.83333 \dots

Schritte zur Lösung

\int_{0}^{1} 5 x^{5} d x

Entferne die Konstante:

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

= 5 \cdot \int_{0}^{1} x^{5} d x

Wende die Potenzregel an

= 5 [\frac{x ^{6}}{6}]_{0}^{1}

Berechne die Grenzen:

\frac{1}{6}

= 5 \cdot \frac{1}{6}

Vereinfache

= \frac{5}{6}

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