integral from 0 to 2 of 20x

Lösung

\int_{0}^{2} 20 x d x

40

Schritte zur Lösung

\int_{0}^{2} 20 x d x

Entferne die Konstante:

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

= 20 \cdot \int_{0}^{2} x d x

Wende die Potenzregel an

= 20 [\frac{x ^{2}}{2}]_{0}^{2}

Berechne die Grenzen:

2

= 20 \cdot 2

Vereinfache

= 40

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