integral from-3 to 2 of x+|x|

Lösung

\int_{- 3}^{2} x + ∣ x ∣ d x

4

Schritte zur Lösung

\int_{- 3}^{2} x + ∣ x ∣ d x

Entferne die Extremwerte

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

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

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

= 0 + 4

Vereinfache

= 4

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

\int_{0}^{\frac{π}{4}} \frac{1}{1 + cos ( 2 x )} d x

\int_{1}^{3} π (- x^{2} + 4 x - 3)^{2} d x

\int_{- 32}^{32} 5 x^{8} d x

\int_{- 1}^{1} u^{5} d u