integral from 4 to 2 of 6x

Lösung

\int_{4}^{2} 6 x d x

- 36

Schritte zur Lösung

\int_{4}^{2} 6 x d x

\int_{a}^{b} f (x) d x = - \int_{b}^{a} f (x) d x, a < b

= - \int_{2}^{4} 6 x d x

Entferne die Konstante:

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

= - 6 \cdot \int_{2}^{4} x d x

Wende die Potenzregel an

= - 6 [\frac{x ^{2}}{2}]_{2}^{4}

Berechne die Grenzen:

6

= - 6 \cdot 6

Vereinfache

= - 36

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