integral from 0 to 3 of 3sqrt(x)

Lösung

\int_{0}^{3} 3 x d x

63

Dezimale Notation

10.39230 \dots

Schritte zur Lösung

\int_{0}^{3} 3 x d x

Entferne die Konstante:

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

= 3 \cdot \int_{0}^{3} x d x

Wende die Potenzregel an

: [\frac{2}{3} x^{\frac{3}{2}}]_{0}^{3}

= 3 [\frac{2}{3} x^{\frac{3}{2}}]_{0}^{3}

Berechne die Grenzen:

23

= 3 \cdot 23

Vereinfache

= 63

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