integral from 0 to 7 of 2x

Lösung

\int_{0}^{7} 2 x d x

49

Schritte zur Lösung

\int_{0}^{7} 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}^{7} x d x

Wende die Potenzregel an

= 2 [\frac{x ^{2}}{2}]_{0}^{7}

Berechne die Grenzen:

\frac{49}{2}

= 2 \cdot \frac{49}{2}

Vereinfache

= 49

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