integral from 4 to 9 of 5sqrt(x)

Lösung

\int_{4}^{9} 5 x d x

\frac{190}{3}

Dezimale

63.33333 \dots

Schritte zur Lösung

\int_{4}^{9} 5 x d x

Entferne die Konstante:

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

= 5 \cdot \int_{4}^{9} x d x

Wende die Potenzregel an

= 5 [\frac{2}{3} x^{\frac{3}{2}}]_{4}^{9}

Berechne die Grenzen:

\frac{38}{3}

= 5 \cdot \frac{38}{3}

Vereinfache

= \frac{190}{3}

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