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I have posted a link there to this topic so the OP can see my work.Calculus Volume of rotation question?

Hi, I am having difficulty with this volume of rotation problem

y=2-1/2x, y=0, x=1, x=2

The answer is 19pi/12 in the book but I when I try to solve the problem I cannot

work it out correctly. How would one go about working out this problem?

Thanks for you're help

Additional Details:

I forgot to add that it is rotating about x-axis