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Category: Integration

find-ln-x-x-2-1-x-2-1-dx-2-calculate-2-5-ln-x-x-2-1-x-2-1-dx-

Question Number 39833 by math khazana by abdo last updated on 12/Jul/18 $${find}\:\:\int\:\:\:\:\frac{{ln}\left({x}+\sqrt{{x}^{\mathrm{2}} \:−\mathrm{1}}\right)}{\:\sqrt{{x}^{\mathrm{2}} −\mathrm{1}}}\:{dx} \\ $$$$\left.\mathrm{2}\right)\:{calculate}\:\int_{\mathrm{2}} ^{\mathrm{5}} \:\:\:\frac{{ln}\left({x}+\sqrt{{x}^{\mathrm{2}} \:−\mathrm{1}}\right.}{\:\sqrt{{x}^{\mathrm{2}} −\mathrm{1}}}{dx} \\ $$ Commented by…

calculste-I-cos-x-n-1-x-2-dx-with-from-R-and-n-integr-natural-2-find-the-vslue-of-cos-3-x-9-1-x-2-dx-

Question Number 39787 by abdo mathsup 649 cc last updated on 10/Jul/18 $${calculste}\:\:{I}_{\lambda} \:=\:\int_{−\infty} ^{+\infty} \:\:\frac{{cos}\left(\lambda{x}^{{n}} \right)}{\mathrm{1}+{x}^{\mathrm{2}} }\:{dx}\:\:{with} \\ $$$$\lambda\:{from}\:{R}\:{and}\:{n}\:{integr}\:{natural} \\ $$$$\left.\mathrm{2}\right)\:{find}\:{the}\:{vslue}\:{of}\:\:\int_{−\infty} ^{+\infty} \:\:\frac{{cos}\left(\mathrm{3}\:{x}^{\mathrm{9}} \right)}{\mathrm{1}+{x}^{\mathrm{2}}…