integral from-2 to 5 of h(x)

Lösung

\int_{- 2}^{5} h (x) d x

\frac{21 h}{2}

Schritte zur Lösung

\int_{- 2}^{5} h x d x

Entferne die Konstante:

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

= h \cdot \int_{- 2}^{5} x d x

Wende die Potenzregel an

= h [\frac{x ^{2}}{2}]_{- 2}^{5}

Berechne die Grenzen:

\frac{21}{2}

= h \frac{21}{2}

Vereinfache

= \frac{21 h}{2}

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