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Integration : Finding Areas of Regions Bounded by Three Lines and Solid of Revolution

Let R and S be regions in the first quadrant. R is bounded by the x-axis, y=2-x^3 and y=tan x. S is bounded by the y-axis, y=2-x^3 and y=tan x.
a) Find area of R.
b) Find area of S
c) Find volume of the solid generated when S is revolved about the x-axis.

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Finding Areas of Regions Bounded by Three Lines and Solid of Revolution are investigated. The solution is detailed and well presented.

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