integral from-2 to 0 of 13/6 x^3

Lösung

\int_{- 2}^{0} \frac{13}{6} x^{3} d x

- \frac{26}{3}

Dezimale

- 8.66666 \dots

Schritte zur Lösung

\int_{- 2}^{0} \frac{13}{6} x^{3} d x

Entferne die Konstante:

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

= \frac{13}{6} \cdot \int_{- 2}^{0} x^{3} d x

Wende die Potenzregel an

= \frac{13}{6} [\frac{x ^{4}}{4}]_{- 2}^{0}

Berechne die Grenzen:

- 4

= \frac{13}{6} (- 4)

Vereinfache

= - \frac{26}{3}

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