integral from 0.5 to 1 of 2x

Lösung

\int_{0.5}^{1} 2 x d x

0.75

Schritte zur Lösung

\int_{0.5}^{1} 2 x d x

Entferne die Konstante:

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

= 2 \cdot \int_{0.5}^{1} x d x

Wende die Potenzregel an

= 2 [\frac{x ^{2}}{2}]_{0.5}^{1}

Vereinfache

= 2 [0.5 x^{2}]_{0.5}^{1}

Berechne die Grenzen:

0.375

= 2 \cdot 0.375

Vereinfache

= 0.75

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