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Beliebt Rechnen >

fläche y=x-6,y^2=2x+108

Lösung

fläche

y = x - 6, y^{2} = 2 x + 108

Lösung

\frac{2662}{3}

+1

Dezimale

887.33333 \dots

Schritte zur Lösung

Stelle

y

nach

y^{2} = 2 x + 108

um:

y = 2 x + 108, y = - 2 x + 108

f_{1} (x) = x - 6

f_{2} (x) = 2 x + 108

Um die Schnittpunkte zu finden, löse

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

x - 6 = 2 x + 108 : x = 18

x - 6 = - 2 x + 108 : x = - 4

2 x + 108 = - 2 x + 108 : x = - 54

= \int_{- 54}^{- 4} ∣ f_{2} (x) - f_{3} (x) ∣ d x + \int_{- 4}^{18} ∣ f_{1} (x) - f_{2} (x) ∣ d x

= \int_{- 54}^{- 4} 2 x + 108 - (- 2 x + 108) d x + \int_{- 4}^{18} x - 6 - 2 x + 108 d x

\int_{- 54}^{- 4} 2 x + 108 - (- 2 x + 108) d x = \frac{2000}{3}

\int_{- 4}^{18} x - 6 - 2 x + 108 d x = \frac{662}{3}

= \frac{2000}{3} + \frac{662}{3}

Vereinfache

= \frac{2662}{3}

Graph

Beliebte Beispiele

limit as x approaches 3 of (13sin(6x))/x

x \to 3 lim (\frac{13 sin ( 6 x )}{x})

derivative of sqrt(2x-15)

\frac{d}{d x} (2 x - 15)

derivative f(x)=ln(c^3-1)

d er i v a t i v e f (x) = ln (c^{3} - 1)

sum from n=4 to infinity of e^{7-6n}

n = 4 \sum \infty e^{7 - 6 n}

(dx)/(dt)+2t^7x^9+x/t =0

\frac{d x}{d t} + 2 t^{7} x^{9} + \frac{x}{t} = 0