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Beliebt Rechnen >

fläche x+y^2=12,x+y=0

Lösung

fläche

x + y^{2} = 12, x + y = 0

Lösung

\frac{343}{6}

+1

Dezimale

57.16666 \dots

Schritte zur Lösung

Stelle

y

nach

x + y^{2} = 12

um:

y = 12 - x, y = - 12 - x

Stelle

y

nach

x + y = 0

um:

y = - x

f_{1} (x) = 12 - x

f_{2} (x) = - 12 - x

Um die Schnittpunkte zu finden, löse

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

12 - x = - 12 - x : x = 12

12 - x = - x : x = - 4

- 12 - x = - x : x = 3

= \int_{- 4}^{3} ∣ f_{1} (x) - f_{3} (x) ∣ d x + \int_{3}^{12} ∣ f_{2} (x) - f_{1} (x) ∣ d x

= \int_{- 4}^{3} 12 - x - (- x) d x + \int_{3}^{12} - 12 - x - 12 - x d x

\int_{- 4}^{3} 12 - x - (- x) d x = \frac{127}{6}

\int_{3}^{12} - 12 - x - 12 - x d x = 36

= \frac{127}{6} + 36

Vereinfache

= \frac{343}{6}

Graph

Beliebte Beispiele

integral of 1/(sqrt(t^2-4t+29))

\int \frac{1}{t ^{2} - 4 t + 29} d t

integral of sqrt(4-t)

\int 4 - t d t

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\int_{0}^{2} (x^{2} - 2)^{4} x d x

fläche y=4x,y= 5/4 x,y=21-x^2

a re a y = 4 x, y = \frac{5}{4} x, y = 21 - x^{2}

limit as x approaches-1-of (x^3)/(3x+3)

x \to - 1 - lim (\frac{x ^{3}}{3 x + 3})