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Category: Integration

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

Question Number 124566 by bemath last updated on 04/Dec/20 $$\:\int\:\frac{{dx}}{\left({x}+\sqrt{{x}^{\mathrm{2}} +\mathrm{1}}\right)^{\mathrm{2}} }\: \\ $$ Answered by liberty last updated on 05/Dec/20 $$\:\int\:\frac{{dx}}{\left({x}+\sqrt{{x}^{\mathrm{2}} +\mathrm{1}}\right)^{\mathrm{2}} }\:=\:? \\…

Question-59012

Question Number 59012 by cesar.marval.larez@gmail.com last updated on 03/May/19 Answered by tanmay last updated on 03/May/19 $$\left.\mathrm{182}\right)\int\frac{\mathrm{2}{x}−\mathrm{7}}{{x}^{\mathrm{2}} +\mathrm{9}}{dx} \\ $$$$\int\frac{{d}\left({x}^{\mathrm{2}} +\mathrm{9}\right)}{{x}^{\mathrm{2}} +\mathrm{9}}−\mathrm{7}\int\frac{{dx}}{{x}^{\mathrm{2}} +\mathrm{3}^{\mathrm{2}} } \\…

help-3xdx-

Question Number 124542 by micelle last updated on 04/Dec/20 $${help}\:\:\int\mathrm{3}{xdx} \\ $$ Commented by bemath last updated on 04/Dec/20 $$\int\:\mathrm{3}{x}\:{dx}\:=\:\frac{\mathrm{6}}{\mathrm{2}}\int\:{x}\:{dx}\:=\:\frac{\mathrm{9}}{\mathrm{3}}\int{x}\:{dx}\: \\ $$$$\:=\:\frac{\mathrm{6}{x}^{\mathrm{2}} }{\mathrm{4}}+{c}\:=\:\frac{\mathrm{9}{x}^{\mathrm{2}} }{\mathrm{6}}+{c}\: \\…

4x-9-x-2-6x-10-dx-

Question Number 124540 by micelle last updated on 04/Dec/20 $$\int\frac{\mathrm{4}{x}+\mathrm{9}}{{x}^{\mathrm{2}} +\mathrm{6}{x}+\mathrm{10}}{dx} \\ $$ Answered by Ar Brandon last updated on 04/Dec/20 $$\mathcal{I}=\int\frac{\mathrm{4x}+\mathrm{9}}{\mathrm{x}^{\mathrm{2}} +\mathrm{6x}+\mathrm{10}}\mathrm{dx} \\ $$$$\mathrm{4x}+\mathrm{9}=\lambda\left\{\frac{\mathrm{d}}{\mathrm{dx}}\left(\mathrm{x}^{\mathrm{2}}…

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

Question Number 124532 by liberty last updated on 04/Dec/20 $$\:\int\:\frac{{dx}}{{x}^{\mathrm{2}} \sqrt{{x}^{\mathrm{2}} −\mathrm{1}}}\:? \\ $$ Answered by bemath last updated on 04/Dec/20 $$\:\vartheta\left({x}\right)\:=\:\int\:\frac{{dx}}{{x}^{\mathrm{3}} \:\sqrt{\mathrm{1}−{x}^{−\mathrm{2}} }}\:=\:\int\:\frac{{x}^{−\mathrm{3}} }{\:\sqrt{\mathrm{1}−{x}^{−\mathrm{2}}…