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Beliebt Rechnen >

fläche y=x,y=3x,y=-x+4

Lösung

fläche

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

Lösung

2

Schritte zur Lösung

Um die Schnittpunkte zu finden, löse

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

x = 3 x : x = 0

x = - x + 4 : x = 2

3 x = - x + 4 : 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 - (- x + 4) ∣ d x

\int_{0}^{1} ∣ x - 3 x ∣ d x = 1

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

= 1 + 1

Vereinfache

= 2

Graph

Beliebte Beispiele

(y+sqrt(xy))dx=xdy

(y + x y) d x = x d y

(\partial)/(\partial x)(sqrt((2x)/(x^2+1)))

\frac{\partial}{\partial x} (\frac{2 x}{x ^{2} + 1})

tangent 12x^2+3x

t an g e n t 12 x^{2} + 3 x

f (x) = 4 - 5 x^{2}

limit as x approaches a of sqrt(x-a)+c

x \to a lim (x - a + c)