integral from-1 to 0 of 2x^2

Lösung

\int_{- 1}^{0} 2 x^{2} d x

\frac{2}{3}

Dezimale

0.66666 \dots

Schritte zur Lösung

\int_{- 1}^{0} 2 x^{2} d x

Entferne die Konstante:

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

= 2 \cdot \int_{- 1}^{0} x^{2} d x

Wende die Potenzregel an

= 2 [\frac{x ^{3}}{3}]_{- 1}^{0}

Berechne die Grenzen:

\frac{1}{3}

= 2 \cdot \frac{1}{3}

Vereinfache

= \frac{2}{3}

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