What is area x=y^2-6x,x=y-y^2 ?

The answer to area x=y^2-6x,x=y-y^2 is No Solution

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area x=y^2-6x,x=y-y^2

area

x = y^{2} - 6 x, x = y - y^{2}

No Solution

Solution steps

Isolate

y

for

x = y^{2} - 6 x : y = 7 x, y = - 7 x

Isolate

y

for

x = y - y^{2} : y = - \frac{- 1 + 1 - 4 x}{2}, y = - \frac{- 1 - 1 - 4 x}{2}

f_{1} (x) = 7 x

f_{2} (x) = - 7 x

To find the intersection points solve

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

7 x = - 7 x : x = 0

7 x = - \frac{- 1 + 1 - 4 x}{2} : x = 0

7 x = - \frac{- 1 - 1 - 4 x}{2} : x = \frac{7}{64}

- 7 x = - \frac{- 1 + 1 - 4 x}{2} : x = 0

- 7 x = - \frac{- 1 - 1 - 4 x}{2} :

No Solution for

x \in R

- \frac{- 1 + 1 - 4 x}{2} = - \frac{- 1 - 1 - 4 x}{2} : x = \frac{1}{4}

Curves not bounded

= No Solution

What is area x=y^2-6x,x=y-y^2 ?
The answer to area x=y^2-6x,x=y-y^2 is No Solution