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Beliebt Rechnen >

fläche x=2-y^2,x=y

Lösung

fläche

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

Lösung

\frac{9}{2}

+1

Dezimale

4.5

Schritte zur Lösung

Stelle

y

nach

x = 2 - y^{2}

um:

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

Stelle

y

nach

x = y

um:

y = x

f_{1} (x) = - x + 2

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

Um die Schnittpunkte zu finden, löse

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

- x + 2 = - - x + 2 : x = 2

- x + 2 = x : x = 1

- - x + 2 = x : x = - 2

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

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

\int_{- 2}^{1} - - x + 2 - x d x = \frac{19}{6}

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

= \frac{19}{6} + \frac{4}{3}

Vereinfache

= \frac{9}{2}

Graph

Beliebte Beispiele

limit as x approaches 0 of sin(x^x)

x \to 0 lim (sin (x^{x}))

integral of 1/(x^2+6x+58)

\int \frac{1}{x ^{2} + 6 x + 58} d x

derivative f(t)=sin^2(e^{sin^2(t)})

d er i v a t i v e f (t) = sin^{2} (e^{s i n^{2} (t)})

tangent 2/(sqrt(x)),\at x= 1/4

t an g e n t \frac{2}{x}, at x = \frac{1}{4}

tangent y=(-2x)/(x^2+1),(1,-1)

t an g e n t y = \frac{- 2 x}{x ^{2} + 1}, (1, - 1)