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## Homework Statement

Set up an integral that represents the area of the surface generated when the region is bounded by x + y

^{2}= 1 and the y-axis, then rotated about the y-axis. All in one-variable.

## Homework Equations

SA = 2pi [tex]\int xds[/tex]

possible x

^{2}+ y

^{2}= r

^{2}

## The Attempt at a Solution

I tried to set up an integral as a circle and somehow ended up getting 2pi[tex]\int(r/2)(2pi r) dr[/tex]

When I picture it, it would be a sphere with a radius of 1. Still don't truly understand on how to make a integral to show it