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

Introduce polar coordinates in the yz 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 
100/3*pi