integral from 5 to 10 of 6/25 x

Lösung

\int_{5}^{10} \frac{6}{25} x d x

9

Schritte zur Lösung

\int_{5}^{10} \frac{6}{25} x d x

Entferne die Konstante:

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

= \frac{6}{25} \cdot \int_{5}^{10} x d x

Wende die Potenzregel an

= \frac{6}{25} [\frac{x ^{2}}{2}]_{5}^{10}

Berechne die Grenzen:

\frac{75}{2}

= \frac{6}{25} \cdot \frac{75}{2}

Vereinfache

= 9

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