integral from-8 to 8 of |7x|-(x^2-8)

Lösung

\int_{- 8}^{8} ∣ 7 x ∣ - (x^{2} - 8) d x

\frac{704}{3}

Dezimale

234.66666 \dots

Schritte zur Lösung

\int_{- 8}^{8} ∣ 7 x ∣ - (x^{2} - 8) d x

Entferne die Extremwerte

= \int_{- 8}^{0} - 7 x - (x^{2} - 8) d x + \int_{0}^{8} 7 x - (x^{2} - 8) d x

\int_{- 8}^{0} - 7 x - (x^{2} - 8) d x = \frac{352}{3}

\int_{0}^{8} 7 x - (x^{2} - 8) d x = \frac{352}{3}

= \frac{352}{3} + \frac{352}{3}

Vereinfache

\frac{352}{3} + \frac{352}{3} : \frac{704}{3}

= \frac{704}{3}

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