de

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Beliebt Rechnen >

fläche y=x,y=3x,x+y=4

Lösung

fläche

y = x, y = 3 x, x + y = 4

Lösung

2

Schritte zur Lösung

Stelle

y

nach

x + y = 4

um:

y = 4 - x

f_{1} (x) = x

f_{2} (x) = 3 x

Um die Schnittpunkte zu finden, löse

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

x = 3 x : x = 0

x = 4 - x : x = 2

3 x = 4 - x : x = 1

= \int_{0}^{1} ∣ f_{1} (x) - f_{2} (x) ∣ d x + \int_{1}^{2} ∣ f_{1} (x) - f_{3} (x) ∣ d x

= \int_{0}^{1} ∣ x - 3 x ∣ d x + \int_{1}^{2} ∣ x - (4 - x) ∣ d x

\int_{0}^{1} ∣ x - 3 x ∣ d x = 1

\int_{1}^{2} ∣ x - (4 - x) ∣ d x = 1

= 1 + 1

Vereinfache

= 2

Graph

Beliebte Beispiele

integral of sin(x+2)

\int sin (x + 2) d x

integral of x\sqrt[3]{x-2}

\int x 3 x - 2 d x

limit as x approaches 0-of (x^2)/8-4/x

x \to 0 - lim (\frac{x ^{2}}{8} - \frac{4}{x})

integral from 2 to 4 of 1

\int_{2}^{4} 1 d x

integral from 0 to 6 of 2pixsqrt(x^2+9)

\int_{0}^{6} 2 π x x^{2} + 9 d x