integral from-32 to 32 of \sqrt[5]{x^4}

Lösung

\int_{- 32}^{32} 5 x^{4} d x

\frac{5120}{9}

Dezimale

568.88888 \dots

Schritte zur Lösung

\int_{- 32}^{32} 5 x^{4} d x

5 x^{4} = x^{\frac{4}{5}},

angenommen

x \geq 0

= \int_{- 32}^{32} x^{\frac{4}{5}} d x

Wende die Potenzregel an

= [\frac{5}{9} x^{\frac{9}{5}}]_{- 32}^{32}

Berechne die Grenzen:

\frac{5120}{9}

= \frac{5120}{9}

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