integral from 0 to 8 of |x-3|

Lösung

\int_{0}^{8} ∣ x - 3 ∣ d x

17

Schritte zur Lösung

\int_{0}^{8} ∣ x - 3 ∣ d x

Entferne die Extremwerte

= \int_{0}^{3} - x + 3 d x + \int_{3}^{8} x - 3 d x

\int_{0}^{3} - x + 3 d x = \frac{9}{2}

\int_{3}^{8} x - 3 d x = \frac{25}{2}

= \frac{9}{2} + \frac{25}{2}

Vereinfache

\frac{9}{2} + \frac{25}{2} : 17

= 17

\int_{0}^{1} 4 x - 6 (x^{2})^{\frac{1}{3}} d x

\int_{- 1}^{3} (3 x - 5) (x + 2) d x

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

\int_{0}^{3} x^{2} - 2 x - 3 d x

\int_{0}^{0.1} 600 x d x