de

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Beliebt Rechnen >

fläche x=y^2,x=y^3

Lösung

fläche

x = y^{2}, x = y^{3}

Lösung

\frac{1}{12}

+1

Dezimale

0.08333 \dots

Schritte zur Lösung

Stelle

y

nach

x = y^{2}

um:

y = x, y = - x

Stelle

y

nach

x = y^{3}

um:

y = 3 x

f_{1} (x) = x

f_{2} (x) = - x

Um die Schnittpunkte zu finden, löse

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

x = - x : x = 0

x = 3 x : x = 0, x = 1

- x = 3 x : x = 0

= \int_{0}^{1} ∣ f_{1} (x) - f_{3} (x) ∣ d x

= \int_{0}^{1} x - 3 x d x

\int_{0}^{1} x - 3 x d x = \frac{1}{12}

= \frac{1}{12}

Graph

Beliebte Beispiele

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

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

integral of e^{7x-1}

\int e^{7 x - 1} d x

integral of |1-x|

\int ∣ 1 - x ∣ d x

derivative of (d/(dx(3))/x)

\frac{d}{d x} (\frac{\frac{d}{d x} ( 3 )}{x})

derivative of 1/(3+2x)

\frac{d}{d x} (\frac{1}{3 + 2 x})