Let R denote the region in the first quadrant of the ry-plane that is bounded by y = V4 – x², y= 2x, and y = 0,

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Extracted text: Let R denote the region in the first quadrant of the ry-plane that is bounded by y = V4 – x², y= 2x, and y = 0,


Extracted text: Consider the solid whose base is the region R and whose cross-sections perpendicular to the base and perpendicular to the r-axis are equilateral triangles. Please formulate a definite integral for the volume of the above solid. Please clearly communicate your reasoning/justification for this formulation. You need NOT evaluate this integral.