Is there a way to integrate $$\frac{2\cos(x-\frac{1}{x})}{x^2+2},$$ perhaps through methods other than Riemann integration? I was trying to use Glasser's master theorem to integrate $$\frac{\cos(x)}{x^4+1},$$ but when I graph the former function (after substitution this is the function), it does not look possible. Glasser's master theorem states that both functions must be integrable for the substitution to occur, so I wonder if it is possible .
2026-04-07 17:49:53.1775584193
Are functions like $\frac{2\cos(x-\frac{1}{x})}{x^2+2}$ integrable in any way?
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