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Question Number 26024 by abdo imad last updated on 17/Dec/17
e give a element from]0.∝[  find the value of ∫_0 ^∞  cos( ax^2 )  and  ∫_0 ^∞  sin( ax^2 )dx.
$$\left.{e}\:{give}\:{a}\:{element}\:{from}\right]\mathrm{0}.\propto\left[\:\:{find}\:{the}\:{value}\:{of}\:\int_{\mathrm{0}} ^{\infty} \:{cos}\left(\:{ax}^{\mathrm{2}} \right)\right. \\ $$$${and}\:\:\int_{\mathrm{0}} ^{\infty} \:{sin}\left(\:{ax}^{\mathrm{2}} \right){dx}. \\ $$

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