Three indefinite points that cannot be counted

[yangyongkang]

Not much to say, directly on the topic

Code:

[int(e^(k*atan(x))/(x^2+1)^(3/2), x), int(x*atan(x)/(x^2+1)^(3/2), x), int(atan(x)/(x^2*(x^2+1)), x)]

Maple and XCAS are powerless
Answer for Wolfram Alpha