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Beliebt Rechnen >

fläche x,2-x,0

Lösung

fläche

x, 2 - x, 0

Lösung

1

Schritte zur Lösung

Um die Schnittpunkte zu finden, löse

f_{i} (x) = f_{j} (x)

x = 2 - x : x = 1

x = 0 : x = 0

2 - x = 0 : x = 2

= \int_{0}^{1} ∣ f_{1} (x) - f_{3} (x) ∣ d x + \int_{1}^{2} ∣ f_{3} (x) - f_{2} (x) ∣ d x

= \int_{0}^{1} ∣ x - 0 ∣ d x + \int_{1}^{2} ∣ 0 - (2 - x) ∣ d x

\int_{0}^{1} ∣ x - 0 ∣ d x = \frac{1}{2}

\int_{1}^{2} ∣ 0 - (2 - x) ∣ d x = \frac{1}{2}

= \frac{1}{2} + \frac{1}{2}

Vereinfache

= 1

Graph

Beliebte Beispiele

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