integral from 3 to 8 of 3x^3

Lösung

\int_{3}^{8} 3 x^{3} d x

\frac{12045}{4}

Dezimale

3011.25

Schritte zur Lösung

\int_{3}^{8} 3 x^{3} d x

Entferne die Konstante:

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

= 3 \cdot \int_{3}^{8} x^{3} d x

Wende die Potenzregel an

= 3 [\frac{x ^{4}}{4}]_{3}^{8}

Berechne die Grenzen:

\frac{4015}{4}

= 3 \cdot \frac{4015}{4}

Vereinfache

= \frac{12045}{4}

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