integral from 4 to 9 of 9sqrt(x)

Lösung

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

114

Schritte zur Lösung

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

Entferne die Konstante:

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

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

Wende die Potenzregel an

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

Berechne die Grenzen:

\frac{38}{3}

= 9 \cdot \frac{38}{3}

Vereinfache

= 114

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