integral from 2 to 3 of g(x)

Lösung

\int_{2}^{3} g (x) d x

\frac{5 g}{2}

Schritte zur Lösung

\int_{2}^{3} gx d x

Entferne die Konstante:

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

= g \cdot \int_{2}^{3} x d x

Wende die Potenzregel an

= g [\frac{x ^{2}}{2}]_{2}^{3}

Berechne die Grenzen:

\frac{5}{2}

= g \frac{5}{2}

Vereinfache

= \frac{5 g}{2}

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