integral from 0 to 3 of (x^3)/9

Lösung

\int_{0}^{3} \frac{x ^{3}}{9} d x

\frac{9}{4}

Dezimale

2.25

Schritte zur Lösung

\int_{0}^{3} \frac{x ^{3}}{9} d x

Entferne die Konstante:

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

= \frac{1}{9} \cdot \int_{0}^{3} x^{3} d x

Wende die Potenzregel an

= \frac{1}{9} [\frac{x ^{4}}{4}]_{0}^{3}

Berechne die Grenzen:

\frac{81}{4}

= \frac{1}{9} \cdot \frac{81}{4}

Vereinfache

= \frac{9}{4}

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