integral from 0 to 12 of 1/2 x

Lösung

\int_{0}^{12} \frac{1}{2} x d x

36

Schritte zur Lösung

\int_{0}^{12} \frac{1}{2} x d x

Entferne die Konstante:

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

= \frac{1}{2} \cdot \int_{0}^{12} x d x

Wende die Potenzregel an

= \frac{1}{2} [\frac{x ^{2}}{2}]_{0}^{12}

Berechne die Grenzen:

72

= \frac{1}{2} \cdot 72

Vereinfache

= 36

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