integral from-1 to 1 of 3x^5|x|

Lösung

\int_{- 1}^{1} 3 x^{5} ∣ x ∣ d x

0

Schritte zur Lösung

\int_{- 1}^{1} 3 x^{5} ∣ x ∣ d x

Entferne die Extremwerte

= \int_{- 1}^{0} 3 x^{5} (- x) d x + \int_{0}^{1} 3 x^{5} x d x

\int_{- 1}^{0} 3 x^{5} (- x) d x = - \frac{3}{7}

\int_{0}^{1} 3 x^{5} x d x = \frac{3}{7}

= - \frac{3}{7} + \frac{3}{7}

Vereinfache

= 0

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