Earlier in the science Q&A thread I introduced the function y=sin(1/x)/x, which has some interesting properties, like a singularity where the function not only gets infinitely large, but also oscillates infinitely many times, infinitely faster. In technical terms, "it gets REALLY
But today I stumbled across another interesting property of it. What do you think is the area under the curve (from -infinity to +infinity)?
That is, if you shaded in all the area below the curve and above the x-axis, and subtracted all the area above the curve and below the x-axis, how much area will it be?
I suspected the answer would be finite, and I was right, but the actual value was a cool surprise.