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Beliebt Rechnen >

fläche x=6-y^2,x=y

Lösung

fläche

x = 6 - y^{2}, x = y

Lösung

\frac{125}{6}

+1

Dezimale

20.83333 \dots

Schritte zur Lösung

Stelle

y

nach

x = 6 - y^{2}

um:

y = - x + 6, y = - - x + 6

Stelle

y

nach

x = y

um:

y = x

f_{1} (x) = - x + 6

f_{2} (x) = - - x + 6

Um die Schnittpunkte zu finden, löse

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

- x + 6 = - - x + 6 : x = 6

- x + 6 = x : x = 2

- - x + 6 = x : x = - 3

= \int_{- 3}^{2} ∣ f_{2} (x) - f_{3} (x) ∣ d x + \int_{2}^{6} ∣ f_{1} (x) - f_{2} (x) ∣ d x

= \int_{- 3}^{2} - - x + 6 - x d x + \int_{2}^{6} - x + 6 - (- - x + 6) d x

\int_{- 3}^{2} - - x + 6 - x d x = \frac{61}{6}

\int_{2}^{6} - x + 6 - (- - x + 6) d x = \frac{32}{3}

= \frac{61}{6} + \frac{32}{3}

Vereinfache

= \frac{125}{6}

Graph

Beliebte Beispiele

derivative y=x^3-3x+2

d er i v a t i v e y = x^{3} - 3 x + 2

derivative x^3-3x+2

d er i v a t i v e x^{3} - 3 x + 2

fläche y=3x-2,x=2,x=4,y=0

a re a y = 3 x - 2, x = 2, x = 4, y = 0

derivative 2t(3t^2-7)^5

d er i v a t i v e 2 t (3 t^{2} - 7)^{5}

limit as x approaches 4 of sqrt(5x-4)

x \to 4 lim (5 x - 4)