# 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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