integral from 0 to 0.5 of 5x^4

Lösung

\int_{0}^{0.5} 5 x^{4} d x

0.03125

Schritte zur Lösung

\int_{0}^{0.5} 5 x^{4} d x

Entferne die Konstante:

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

= 5 \cdot \int_{0}^{0.5} x^{4} d x

Wende die Potenzregel an

= 5 [\frac{x ^{5}}{5}]_{0}^{0.5}

Vereinfache

= 5 [0.2 x^{5}]_{0}^{0.5}

Berechne die Grenzen:

0.00625

= 5 \cdot 0.00625

Vereinfache

= 0.03125

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