integral from 0 to 100 of 5ax

Lösung

\int_{0}^{100} 5 a x d x

25000 a

Schritte zur Lösung

\int_{0}^{100} 5 a x d x

Entferne die Konstante:

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

= 5 a \cdot \int_{0}^{100} x d x

Wende die Potenzregel an

= 5 a [\frac{x ^{2}}{2}]_{0}^{100}

Berechne die Grenzen:

5000

= 5 a \cdot 5000

Vereinfache

= 25000 a

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