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Popular >

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

Solution

area

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

Solution

\frac{1}{12}

+1

Decimal Notation

0.08333 \dots

Solution steps

Isolate

y

for

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

Isolate

y

for

f_{1} (x) = x

f_{2} (x) = - x

To find the intersection points solve

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

x = - x : x = 0

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

= \frac{1}{12}

Popular Examples

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})

Frequently Asked Questions (FAQ)

What is area x=y^2,x=y^3 ?
The answer to area x=y^2,x=y^3 is 1/12