integral from-1 to 2 of 2x^3

Lösung

\int_{- 1}^{2} 2 x^{3} d x

\frac{15}{2}

Dezimale

7.5

Schritte zur Lösung

\int_{- 1}^{2} 2 x^{3} d x

Entferne die Konstante:

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

= 2 \cdot \int_{- 1}^{2} x^{3} d x

Wende die Potenzregel an

= 2 [\frac{x ^{4}}{4}]_{- 1}^{2}

Berechne die Grenzen:

\frac{15}{4}

= 2 \cdot \frac{15}{4}

Vereinfache

= \frac{15}{2}

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