integral from 1 to 2 of 1.5x

Lösung

\int_{1}^{2} 1.5 x d x

2.25

Schritte zur Lösung

\int_{1}^{2} 1.5 x d x

Entferne die Konstante:

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

= 1.5 \cdot \int_{1}^{2} x d x

Wende die Potenzregel an

= 1.5 [\frac{x ^{2}}{2}]_{1}^{2}

Vereinfache

= 1.5 [0.5 x^{2}]_{1}^{2}

Berechne die Grenzen:

1.5

= 1.5 \cdot 1.5

Vereinfache

= 2.25

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