integral from-3 to 3 of x-|x|

Lösung

\int_{- 3}^{3} x - ∣ x ∣ d x

- 9

Schritte zur Lösung

\int_{- 3}^{3} x - ∣ x ∣ d x

Entferne die Extremwerte

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

\int_{- 3}^{0} x - (- x) d x = - 9

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

= - 9 + 0

Vereinfache

= - 9

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

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

\int_{0}^{5} (3 x + 1) d x

\int_{0}^{6 - x} 6 - x - z d z

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