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Beliebt Rechnen >

fläche y=4,2sqrt(x),((-3x+7))/2

Lösung

fläche

y = 4, 2 x, \frac{( - 3 x + 7 )}{2}

Lösung

4

Schritte zur Lösung

Um die Schnittpunkte zu finden, löse

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

4 = 2 x : x = 4

4 = \frac{( - 3 x + 7 )}{2} : x = - \frac{1}{3}

2 x = \frac{( - 3 x + 7 )}{2} : x = 1

= \int_{- \frac{1}{3}}^{1} ∣ f_{1} (x) - f_{3} (x) ∣ d x + \int_{1}^{4} ∣ f_{2} (x) - f_{1} (x) ∣ d x

= \int_{- \frac{1}{3}}^{1} 4 - \frac{( - 3 x + 7 )}{2} d x + \int_{1}^{4} 2 x - 4 d x

\int_{- \frac{1}{3}}^{1} 4 - \frac{( - 3 x + 7 )}{2} d x = \frac{4}{3}

\int_{1}^{4} 2 x - 4 d x = \frac{8}{3}

= \frac{4}{3} + \frac{8}{3}

Vereinfache

= 4

Graph

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