integral from (-2) to 8 of (|x-2|-3)

Lösung

\int_{(- 2)}^{8} (∣ x - 2 ∣ - 3) d x

- 4

Schritte zur Lösung

\int_{(- 2)}^{8} ∣ x - 2 ∣ - 3 d x

Entferne die Extremwerte

= \int_{(- 2)}^{2} - x + 2 - 3 d x + \int_{2}^{8} x - 2 - 3 d x

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

\int_{2}^{8} x - 2 - 3 d x = 0

= - 4 + 0

Vereinfache

= - 4

\int_{0}^{x^{3}} y e^{\frac{- y}{x}} d y

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