integral from-6 to 6 of |x^2-25|

Lösung

\int_{- 6}^{6} x^{2} - 25 d x

\frac{532}{3}

Dezimale

177.33333 \dots

Schritte zur Lösung

\int_{- 6}^{6} x^{2} - 25 d x

Entferne die Extremwerte

= \int_{- 6}^{- 5} x^{2} - 25 d x + \int_{- 5}^{5} - x^{2} + 25 d x + \int_{5}^{6} x^{2} - 25 d x

\int_{- 6}^{- 5} x^{2} - 25 d x = \frac{16}{3}

\int_{- 5}^{5} - x^{2} + 25 d x = \frac{500}{3}

\int_{5}^{6} x^{2} - 25 d x = \frac{16}{3}

= \frac{16}{3} + \frac{500}{3} + \frac{16}{3}

Vereinfache

\frac{16}{3} + \frac{500}{3} + \frac{16}{3} : \frac{532}{3}

= \frac{532}{3}

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