integral from-4 to 7 of (|x-2|-3)

Lösung

\int_{- 4}^{7} (∣ x - 2 ∣ - 3) d x

- \frac{5}{2}

Dezimale

- 2.5

Schritte zur Lösung

\int_{- 4}^{7} ∣ x - 2 ∣ - 3 d x

Entferne die Extremwerte

= \int_{- 4}^{2} - x + 2 - 3 d x + \int_{2}^{7} x - 2 - 3 d x

\int_{- 4}^{2} - x + 2 - 3 d x = 0

\int_{2}^{7} x - 2 - 3 d x = - \frac{5}{2}

= 0 - \frac{5}{2}

Vereinfache

= - \frac{5}{2}

\int_{- 1}^{π - 1} sin (1 + x) d x

\int_{0}^{2} x^{2} + 2 d x

\int_{0}^{z^{2}} z d z

\int_{0}^{4} (4 - 4 x) d x

\int_{0}^{1} x \cdot 6 x (1 - x) d x