find-the-values-of-0-cos-x-2-dx-and-0-sin-x-2-dx-with-gt-0-2-find-the-values-of-0-cos-x-2-dx-and-0-sin-x-2-dx-integrals-of-fresnel-

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Question Number 35213 by abdo mathsup 649 cc last updated on 16/May/18

find the values of ∫_0 ^∞ cos(λx^2 )dx and ∫_0 ^∞ sin(λx^2 )dx with λ>0 . 2) find the values of ∫_0 ^∞ cos(x^2 )dx and ∫_0 ^∞ sin(x^2 )dx( integrals of fresnel)

$${find}\:{the}\:{values}\:{of}\:\int_{\mathrm{0}} ^{\infty} \:{cos}\left(\lambda{x}^{\mathrm{2}} \right){dx}\:{and} \\ $$$$\int_{\mathrm{0}} ^{\infty} \:{sin}\left(\lambda{x}^{\mathrm{2}} \right){dx}\:{with}\:\lambda>\mathrm{0}\:. \\ $$$$\left.\mathrm{2}\right)\:{find}\:{the}\:{values}\:{of}\:\int_{\mathrm{0}} ^{\infty} \:{cos}\left({x}^{\mathrm{2}} \right){dx}\:{and}\: \\ $$$$\int_{\mathrm{0}} ^{\infty} \:{sin}\left({x}^{\mathrm{2}} \right){dx}\left(\:{integrals}\:{of}\:{fresnel}\right) \\ $$

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find-the-values-of-0-cos-x-2-dx-and-0-sin-x-2-dx-with-gt-0-2-find-the-values-of-0-cos-x-2-dx-and-0-sin-x-2-dx-integrals-of-fresnel-

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