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Popular >

area x=4y^3,x=4y^2

Solution

area

x = 4 y^{3}, x = 4 y^{2}

Solution

\frac{1}{3}

+1

Decimal Notation

0.33333 \dots

Solution steps

Isolate

y

for

Isolate

y

for

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

f_{2} (x) = \frac{x}{2}

To find the intersection points solve

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

\frac{x}{2} = - \frac{x}{2} : x = 0

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

= \frac{1}{3}

Popular Examples

limit as x approaches 0 of ln(1+3x)

x \to 0 lim (ln (1 + 3 x))

integral of 1/(x*sqrt(x-1))

\int \frac{1}{x \cdot x - 1} d x

(\partial)/(\partial x)(sqrt((x+4)/(y+4)))

\frac{\partial}{\partial x} (\frac{x + 4}{y + 4})

limit as x approaches 2 of 3x^2-7x

x \to 2 lim (3 x^{2} - 7 x)

integral of (x^2)/(x^3+4)

\int \frac{x ^{2}}{x ^{3} + 4} d x

Frequently Asked Questions (FAQ)

What is area x=4y^3,x=4y^2 ?
The answer to area x=4y^3,x=4y^2 is 1/3