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

Lösung

\int_{- 3}^{7} (∣ x ∣) d x

29

Schritte zur Lösung

\int_{- 3}^{7} ∣ x ∣ d x

Entferne die Extremwerte

= \int_{- 3}^{0} - x d x + \int_{0}^{7} x d x

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

\int_{0}^{7} x d x = \frac{49}{2}

= \frac{9}{2} + \frac{49}{2}

Vereinfache

\frac{9}{2} + \frac{49}{2} : 29

= 29

\int_{0}^{\frac{π}{2}} sin (8 x) d x

\int_{0}^{π} 2 cos^{2} (t) d t

\int_{- 1}^{2} (2 - 2 ∣ x ∣) d x

\int_{0}^{1.5} (- 4 x + 6)^{\frac{3}{2}} d x

\int_{- 1}^{1} t^{4} d t