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Category: Integration

Question-67617

Question Number 67617 by aliesam last updated on 29/Aug/19 Commented by kaivan.ahmadi last updated on 29/Aug/19 $$\int\frac{\sqrt[{\mathrm{4}}]{{x}^{\mathrm{2}} −\mathrm{2}\sqrt[{\mathrm{4}}]{{x}^{\mathrm{6}} }+{x}}}{\:\sqrt[{\mathrm{4}}]{{x}^{\mathrm{3}} }}{dx}=\int\left(\frac{\mathrm{1}}{\:\sqrt[{\mathrm{4}}]{{x}}}−\mathrm{2}\sqrt[{\mathrm{4}}]{{x}^{\mathrm{3}} }+\frac{\mathrm{1}}{\:\sqrt[{\mathrm{4}}]{{x}^{\mathrm{2}} }}\right){dx}= \\ $$$$\int\left({x}^{\frac{−\mathrm{1}}{\mathrm{4}}} −\mathrm{2}{x}^{\frac{\mathrm{3}}{\mathrm{4}}}…

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

Question Number 133109 by EDWIN88 last updated on 18/Feb/21 $$\int\:\frac{{dx}}{\left({x}^{\mathrm{4}} +\mathrm{1}\right)\:\sqrt[{\mathrm{4}}]{{x}^{\mathrm{4}} +\mathrm{2}}}\:? \\ $$ Commented by liberty last updated on 20/Feb/21 $$\mathrm{I}\:=\:\int\:\frac{\mathrm{dx}}{\left(\mathrm{x}^{\mathrm{4}} +\mathrm{1}\right)\:\sqrt[{\mathrm{4}}]{\mathrm{x}^{\mathrm{4}} +\mathrm{2}}} \\…