integral from-4 to 8 of |x^2-4x-12|

Lösung

\int_{- 4}^{8} x^{2} - 4 x - 12 d x

\frac{368}{3}

Dezimale

122.66666 \dots

Schritte zur Lösung

\int_{- 4}^{8} x^{2} - 4 x - 12 d x

Entferne die Extremwerte

= \int_{- 4}^{- 2} x^{2} - 4 x - 12 d x + \int_{- 2}^{6} - x^{2} + 4 x + 12 d x + \int_{6}^{8} x^{2} - 4 x - 12 d x

\int_{- 4}^{- 2} x^{2} - 4 x - 12 d x = \frac{56}{3}

\int_{- 2}^{6} - x^{2} + 4 x + 12 d x = \frac{256}{3}

\int_{6}^{8} x^{2} - 4 x - 12 d x = \frac{56}{3}

= \frac{56}{3} + \frac{256}{3} + \frac{56}{3}

Vereinfache

\frac{56}{3} + \frac{256}{3} + \frac{56}{3} : \frac{368}{3}

= \frac{368}{3}

\int_{6}^{12} \frac{36}{x} d x

\int_{- 1}^{2} (5 - 2 x) d x

\int_{0}^{1} 5 x + 7 d x

\int_{- 1}^{4} (- x^{2} + 3 x + 4) d x

\int_{\frac{1}{2}}^{1} \frac{1}{x ln ( x )} d x