integral from 0 to 2 of 1/2 x

Lösung

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

1

Schritte zur Lösung

\int_{0}^{2} \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}^{2} x d x

Wende die Potenzregel an

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

Berechne die Grenzen:

2

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

Vereinfache

= 1

\int_{1}^{3} (3 x^{2} - 8 x) d x

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