integral from 0 to 1 of (4x^3)

Lösung

\int_{0}^{1} (4 x^{3}) d x

1

Schritte zur Lösung

\int_{0}^{1} 4 x^{3} d x

Entferne die Konstante:

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

= 4 \cdot \int_{0}^{1} x^{3} d x

Wende die Potenzregel an

= 4 [\frac{x ^{4}}{4}]_{0}^{1}

Berechne die Grenzen:

\frac{1}{4}

= 4 \cdot \frac{1}{4}

Vereinfache

= 1

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