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Category: Integration

dx-x-4-1-x-2-1-

Question Number 112251 by bobhans last updated on 07/Sep/20 $$\int\:\frac{\mathrm{dx}}{\left(\mathrm{x}^{\mathrm{4}} −\mathrm{1}\right)\sqrt{\mathrm{x}^{\mathrm{2}} +\mathrm{1}}} \\ $$ Answered by john santu last updated on 07/Sep/20 $$\int\:\frac{{dx}}{\left({x}^{\mathrm{4}} −\mathrm{1}\right)\sqrt{{x}^{\mathrm{2}} +\mathrm{1}}}\:?…

sin2x-cos-4-x-1-dx-

Question Number 177775 by depressiveshrek last updated on 08/Oct/22 $$\int\frac{\mathrm{sin2}{x}}{\:\sqrt{\mathrm{cos}^{\mathrm{4}} {x}+\mathrm{1}}}{dx} \\ $$ Answered by Ar Brandon last updated on 08/Oct/22 $${I}=\int\frac{\mathrm{sin2}{x}}{\:\sqrt{\mathrm{cos}^{\mathrm{4}} {x}+\mathrm{1}}}{dx}=\int\frac{\mathrm{2sin}{x}\mathrm{cos}{x}}{\:\sqrt{\mathrm{cos}^{\mathrm{4}} {x}+\mathrm{1}}}{dx}\:,\:{c}=\mathrm{cos}{x} \\…

Question-46641

Question Number 46641 by Tinkutara last updated on 29/Oct/18 Commented by tanmay.chaudhury50@gmail.com last updated on 29/Oct/18 $${question}\:{itself}\:\:{is}\:{doubtful}…{because} \\ $$$$\int\frac{{xdx}}{\:\sqrt{\mathrm{1}+\left({x}−\frac{\mathrm{1}}{{x}}\right)}}{dx}\:\leftarrow{it}\:{has}\:{no}\:{upper}\:{or}\:{lower}\:{limit} \\ $$ Terms of Service Privacy…