Which is course leads to the misnomer in the title: The integral was long solved by numeric means, more easily so with the inventions, but the proof of the solution, took a while... and as some other brilliant hacker-newsestition, pointed out, it because even easier with an ingenious u-substitution, related to the solution of the integral of 1/x discovered in the late 1930s...
( The solution is both possible, and proved, and there is a goddamned youtube video about the trick, and its not a minor trick either, like the proofs of int (sec (x)) or int (1/x ). )
In my text book, and current text books, it is said it cannot be resolved by elementary means, and it cannot, but it can be solved, and proven by one whopper of an idea.
( The solution is both possible, and proved, and there is a goddamned youtube video about the trick, and its not a minor trick either, like the proofs of int (sec (x)) or int (1/x ). )
In my text book, and current text books, it is said it cannot be resolved by elementary means, and it cannot, but it can be solved, and proven by one whopper of an idea.
The research is left as an exercise.