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Category: Integration

dy-tan-1-y-1-y-2-

Question Number 176187 by gloriousman last updated on 14/Sep/22 $$\int\frac{\mathrm{dy}}{\mathrm{tan}^{−\mathrm{1}} \mathrm{y}\left(\mathrm{1}+\mathrm{y}^{\mathrm{2}} \right)} \\ $$ Answered by BaliramKumar last updated on 14/Sep/22 $$\int\frac{\mathrm{dy}}{\mathrm{tan}^{−\mathrm{1}} \mathrm{y}\left(\mathrm{1}+\mathrm{y}^{\mathrm{2}} \right)} \\…

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

Question Number 176180 by gloriousman last updated on 14/Sep/22 $$\int\frac{\mathrm{dx}}{\left(\mathrm{x}+\mathrm{1}\right)\sqrt{\mathrm{x}^{\mathrm{2}} +\mathrm{2x}}} \\ $$$$ \\ $$ Answered by Ar Brandon last updated on 14/Sep/22 $${I}=\int\frac{{dx}}{\left({x}+\mathrm{1}\right)\sqrt{{x}^{\mathrm{2}} +\mathrm{2}{x}}}=\int\frac{{dx}}{\left({x}+\mathrm{1}\right)\sqrt{\left({x}+\mathrm{1}\right)^{\mathrm{2}}…

7x-2-3x-8-4x-3-8x-2-20x-24-dx-

Question Number 176133 by cortano1 last updated on 13/Sep/22 $$\:\:\Omega\:=\:\int\:\frac{−\mathrm{7x}^{\mathrm{2}} +\mathrm{3x}−\mathrm{8}}{\mathrm{4x}^{\mathrm{3}} +\mathrm{8x}^{\mathrm{2}} −\mathrm{20x}−\mathrm{24}}\:\mathrm{dx} \\ $$ Answered by kapoorshah last updated on 13/Sep/22 $$\Omega\:=\:\:−\mathrm{2ln}\:\mid{x}\:+\:\mathrm{3}\mid\:+\:\frac{\mathrm{3}}{\mathrm{4}}\mathrm{ln}\:\mid{x}\:+\:\mathrm{1}\mid\:−\frac{\mathrm{1}}{\mathrm{2}}\mathrm{ln}\:\mid{x}\:−\:\mathrm{2}\mid\:+\:{c} \\ $$…