a) Find a positive continuous function such that the area

Chapter 6, Problem 6.287

(choose chapter or problem)

a) Find a positive continuous function such that the area under the graph of from 0 to is for all . (b) A solid is generated by rotating about the -axis the region under the curve , where is a positive function and . The volume generated by the part of the curve from to is for all . Find the function f

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