integral from 0 to 0.5 of 2x^2

Lösung

\int_{0}^{0.5} 2 x^{2} d x

0.08333 \dots

Schritte zur Lösung

\int_{0}^{0.5} 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_{0}^{0.5} x^{2} d x

Wende die Potenzregel an

= 2 [\frac{x ^{3}}{3}]_{0}^{0.5}

Vereinfache

= 2 [0.33333 \dots x^{3}]_{0}^{0.5}

Berechne die Grenzen:

0.04166 \dots

= 2 \cdot 0.04166 \dots

Vereinfache

= 0.08333 \dots

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