Integral cos(x^2) from 0 to infinity

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Integral cos(x^2) from 0 to infinity

I forgot to write du , when differentiating the U-substitution, Sorry.
when evaluating Integral of cos(x^2) from 0 to infinity under one minute, I used Mellin Transform.

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What's the name of the transformation ?

NXT_LVL_DVL