integral from 0 to 3 of 4x^2

Lösung

\int_{0}^{3} 4 x^{2} d x

36

Schritte zur Lösung

\int_{0}^{3} 4 x^{2} d x

Entferne die Konstante:

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

= 4 \cdot \int_{0}^{3} x^{2} d x

Wende die Potenzregel an

= 4 [\frac{x ^{3}}{3}]_{0}^{3}

Berechne die Grenzen:

9

= 4 \cdot 9

Vereinfache

= 36

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