integral from 0 to 300 of 11/3 x

Lösung

\int_{0}^{300} \frac{11}{3} x d x

165000

Schritte zur Lösung

\int_{0}^{300} \frac{11}{3} x d x

Entferne die Konstante:

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

= \frac{11}{3} \cdot \int_{0}^{300} x d x

Wende die Potenzregel an

= \frac{11}{3} [\frac{x ^{2}}{2}]_{0}^{300}

Berechne die Grenzen:

45000

= \frac{11}{3} \cdot 45000

Vereinfache

= 165000

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