integral from 1 to 4 of sqrt(x^3)

Lösung

\int_{1}^{4} x^{3} d x

\frac{62}{5}

Dezimale

12.4

Schritte zur Lösung

\int_{1}^{4} x^{3} d x

x^{3} = x^{\frac{3}{2}},

angenommen

x \geq 0

= \int_{1}^{4} x^{\frac{3}{2}} d x

Wende die Potenzregel an

= [\frac{2}{5} x^{\frac{5}{2}}]_{1}^{4}

Berechne die Grenzen:

\frac{62}{5}

= \frac{62}{5}

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