integral from 0 to 4 of x(sqrt(x))

Lösung

\int_{0}^{4} x (x) d x

\frac{64}{5}

Dezimale

12.8

Schritte zur Lösung

\int_{0}^{4} x x d x

Vereinfache

x x : x^{\frac{3}{2}}

= \int_{0}^{4} x^{\frac{3}{2}} d x

Wende die Potenzregel an

= [\frac{2}{5} x^{\frac{5}{2}}]_{0}^{4}

Berechne die Grenzen:

\frac{64}{5}

= \frac{64}{5}

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