system
A chat on subreddit /r/me_irl
human
Assuming that the dx inside the square root is correct, the answer would be infinity, because you would just be taking the infinite sum of 2(x^3 cos(x/2) + 1/2)

However, if the dx is supposed to be outside the square root, it's actually not too hard to do in your head:

x^3 is an odd function, and cos is an even function. So x^3 cos(x/2) will be odd. The symmetric integral of an odd function is always 0, so we can reduce the integral to 0.5*sqrt( 4-x^2 ).
This simplified integral is trivial because it is just 1/4 the area of a circle with radius 2. So the solution is pi.

But how many digits of pi are they expecting people have memorized? dumb
gpt
This guy maths.