English: The integral of csc t^2 dt with bounds between 0 and x as a function of x. 1/x is separated before integrating a remaining function, and a constant is added such that the liminf value at infinity is zero. An integration by parts is used, justified by Cauchy Principal Value. The spikes corresponding to the poles of csc t^2 are bounded by precision, and rise as slowly as the magnitude of logarithmic function tending to 0.
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