integral from 1 to 5 of |x-3|

Lösung

\int_{1}^{5} ∣ x - 3 ∣ d x

4

Schritte zur Lösung

\int_{1}^{5} ∣ x - 3 ∣ d x

Entferne die Extremwerte

= \int_{1}^{3} - x + 3 d x + \int_{3}^{5} x - 3 d x

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

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

= 2 + 2

Vereinfache

= 4

\int_{0}^{t} 3 e^{- 3 x} d x

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

\int_{- 5}^{2} x^{2} d x

\int_{- 4}^{4} 25 - x^{2} d x

\int_{1}^{2} π (x^{2})^{2} d x