about what integrating fractional expressions does.
One ends up a situation where the integral can no
longer be used for reading the value of the original
function. At its simplest:
Out of curiosity, wanted to see where my two curves meet.
Only Wolfram would tell me, and I've stumbled upon a brand
new trancendental number, W, a Lambert number.
They meet at 1.763...
Rather close to the square root of pi, in fact!
So this is a unique value, where e^this value is equal to 1/this value:
How is this value arrived at?
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