integral from-5 to 3 of |x^2+x-12|

Lösung

\int_{- 5}^{3} x^{2} + x - 12 d x

61

Schritte zur Lösung

\int_{- 5}^{3} x^{2} + x - 12 d x

Entferne die Extremwerte

= \int_{- 5}^{- 4} x^{2} + x - 12 d x + \int_{- 4}^{3} - x^{2} - x + 12 d x

\int_{- 5}^{- 4} x^{2} + x - 12 d x = \frac{23}{6}

\int_{- 4}^{3} - x^{2} - x + 12 d x = \frac{343}{6}

= \frac{23}{6} + \frac{343}{6}

Vereinfache

\frac{23}{6} + \frac{343}{6} : 61

= 61

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