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Consider the region R between the x-axis and the curve y = x^3 / 3 ,...

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Basic Math

Consider the region R between the x-axis and the curve y = x^3 /3 , between x = 0 and x = 1.

(a) Calculate the surface area of the solid obtained byrevolving R about the x-axis.

(b) Write an integral for the the surface area of the solidobtained by revolving R about the y-axis

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