Infinite extent (X axis is horizontal asymptote) yet finite area:
Infinite in both directions:
√π ≈ 1.772
2*√π radians = 203.11° Segment area is √π
Gabriel's Horn, or Torricelli's trumpet.
1/x revolved around X-axis: [1,∞)
surface area is infinite
volume is finite (= π)
Would never finish painting it (ie. its outer surface) but could fill it up
with π cubic units of liquid.
Arc length of sin 1/x on interval (0,1] is infinite.
