integral from 3 to 6 of |x-4|

Lösung

\int_{3}^{6} ∣ x - 4 ∣ d x

\frac{5}{2}

Dezimale

2.5

Schritte zur Lösung

\int_{3}^{6} ∣ x - 4 ∣ d x

Entferne die Extremwerte

= \int_{3}^{4} - x + 4 d x + \int_{4}^{6} x - 4 d x

\int_{3}^{4} - x + 4 d x = \frac{1}{2}

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

= \frac{1}{2} + 2

Vereinfache

\frac{1}{2} + 2 : \frac{5}{2}

= \frac{5}{2}

\int_{- 6}^{3} ∣ x ∣ d x

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

\int_{- 2}^{2} x^{3} - 2 x^{2} + 7 d x

\int_{1}^{4} 8 d x

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