Calculus

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Evaluate the triple integral ∫∫∫_E (x)dV
where E is the solid bounded by the paraboloid x=10y^2+10z^2 and x=10

  • Calculus -

    Introduce polar coordinates in the y-z plane. You can then write the integral as:

    Integral over theta from 0 to 2 pi

    Integral over r from 0 to 1

    Integral over x from 10 r^2 to 10

    r dr dtheta dx

  • Calculus -

    100/3*pi

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