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a. About the x axis

b. About the y-axis

This problem is from the section about surface area revolving around an axis.

I actually did the problem but im not sure on my answer.

For around the x axis I got an answer of 2pi. The integral that I set up was integrating 2pi as a constant and then dx from 0 to 1.

For the b part I got the integral of 2pi as a constant and then integrating x / (sqrt)(2x-x^2)

Please see if this is correct, if not please explain to me how it should be done.

Thank you!