What is volumeabout y=0,y=x^2,y^2=x ?

The answer to volumeabout y=0,y=x^2,y^2=x is (3pi)/(10)

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volumeabout y=0,y=x^2,y^2=x

volume about

y = 0, y = x^{2}, y^{2} = x

\frac{3 π}{10}

Decimal

0.94247 \dots

Solution steps

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}

What is volumeabout y=0,y=x^2,y^2=x ?
The answer to volumeabout y=0,y=x^2,y^2=x is (3pi)/(10)