integral from 0 to 4 of x-|x-3|

Lösung

\int_{0}^{4} x - ∣ x - 3 ∣ d x

3

Schritte zur Lösung

\int_{0}^{4} x - ∣ x - 3 ∣ d x

Entferne die Extremwerte

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

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

\int_{3}^{4} x - (x - 3) d x = 3

= 0 + 3

Vereinfache

= 3

\int_{0}^{4} (8 x - 1)^{2} d x

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