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# Find the volume of the solid bounded by the cylinder y^2 + z^2 = 4 and the planes x = 2y, x = 0, z = 0 in the first octant.

Find the volume of the solid bounded by the cylinder y^2 + z^2 = 4 and the planes x = 2y, x = 0, z = 0 in the first octant. Calculate the double integral by using two iterated integrals with different orders of x and y integration. Do not use polar or cylindrical coordinates.

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The solid will approximately look like this. It is an infinite cylinder
with its base bounded between the lines y=2, y= -2, z = 2, z= -2
according to the given equation.
The other lines bounding it...

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