integral from 4 to 9 of 2x^{3/2}

Lösung

\int_{4}^{9} 2 x^{\frac{3}{2}} d x

\frac{844}{5}

Dezimale

168.8

Schritte zur Lösung

\int_{4}^{9} 2 x^{\frac{3}{2}} d x

Entferne die Konstante:

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

= 2 \cdot \int_{4}^{9} x^{\frac{3}{2}} d x

Wende die Potenzregel an

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

Berechne die Grenzen:

\frac{422}{5}

= 2 \cdot \frac{422}{5}

Vereinfache

= \frac{844}{5}

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