What is volumeabout x,y=x^2,x=y^2 ?

The answer to volumeabout x,y=x^2,x=y^2 is (3pi)/(10)

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volumeabout x,y=x^2,x=y^2

volume about

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

\frac{3 π}{10}

Decimal Notation

0.94247 \dots

Solution steps

Isolate

y^{2}

for

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

Apply the volume formula:

\int_{0}^{1} π x^{4} - x d x

Solve

\int_{0}^{1} π x^{4} - x d x : \frac{3 π}{10}

The volume for solid of revolution is:

= \frac{3 π}{10}

\int 2 x^{7} + 4 x^{6} + x^{5} + 1 d x

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

\frac{d y}{d x} + \frac{7 y}{x} = 32

y = 2 x^{3} - 2 x, (- 1, 0)

\frac{d}{d x} (e \frac{- x}{2})

What is volumeabout x,y=x^2,x=y^2 ?
The answer to volumeabout x,y=x^2,x=y^2 is (3pi)/(10)