integral from 1 to 5 of 3x

Lösung

\int_{1}^{5} 3 x d x

36

Schritte zur Lösung

\int_{1}^{5} 3 x d x

Entferne die Konstante:

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

= 3 \cdot \int_{1}^{5} x d x

Wende die Potenzregel an

= 3 [\frac{x ^{2}}{2}]_{1}^{5}

Berechne die Grenzen:

12

= 3 \cdot 12

Vereinfache

= 36

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