integral from 0 to 2 of kx^2

Lösung

\int_{0}^{2} k x^{2} d x

\frac{8 k}{3}

Schritte zur Lösung

\int_{0}^{2} k x^{2} d x

Entferne die Konstante:

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

= k \cdot \int_{0}^{2} x^{2} d x

Wende die Potenzregel an

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

Berechne die Grenzen:

\frac{8}{3}

= k \frac{8}{3}

Vereinfache

= \frac{8 k}{3}

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