Region bounded by y=x and y=x^2 find the volume when R is revolved about y=2 Does [a,b] = [0,2] or should I split the interval ---> [0,1] and [1,2]?
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Originally Posted by Scottfranklin Region bounded by y=x and y=x^2 find the volume when R is revolved about y=2 Does [a,b] = [0,2] or should I split the interval ---> [0,1] and [1,2]? First find the points of intersection. $\displaystyle x=x^2\Rightarrow{x=0,1}$ So we have $\displaystyle V=\int_0^1[(2-x^2)^2-(2-x)^2]dx$
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