integral from 0.25 to 0.75 of 2x

Lösung

\int_{0.25}^{0.75} 2 x d x

0.5

Schritte zur Lösung

\int_{0.25}^{0.75} 2 x d x

Entferne die Konstante:

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

= 2 \cdot \int_{0.25}^{0.75} x d x

Wende die Potenzregel an

= 2 [\frac{x ^{2}}{2}]_{0.25}^{0.75}

Vereinfache

= 2 [0.5 x^{2}]_{0.25}^{0.75}

Berechne die Grenzen:

0.25

= 2 \cdot 0.25

Vereinfache

= 0.5

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