Menu Close

Category: Integration

find-dx-x-2-1-x-2-3-

Question Number 73482 by abdomathmax last updated on 13/Nov/19 $${find}\:\int\:\:\:\:\frac{{dx}}{\:\sqrt{{x}^{\mathrm{2}} +\mathrm{1}}+\sqrt{{x}^{\mathrm{2}} \:+\mathrm{3}}} \\ $$ Commented by abdomathmax last updated on 17/Nov/19 $${let}\:{I}\:=\int\:\:\:\frac{{dx}}{\:\sqrt{{x}^{\mathrm{2}} +\mathrm{1}}+\sqrt{{x}^{\mathrm{2}} \:+\mathrm{3}}}\:\Rightarrow \\…

find-3x-2-x-1-2-x-2-3-dx-

Question Number 73479 by abdomathmax last updated on 13/Nov/19 $${find}\:\int\:\:\:\:\frac{\mathrm{3}{x}+\mathrm{2}}{\left({x}+\mathrm{1}\right)^{\mathrm{2}} \left({x}−\mathrm{2}\right)^{\mathrm{3}} }{dx} \\ $$ Commented by abdomathmax last updated on 17/Nov/19 $${let}\:{decompose}\:{the}\:{fraction}\:{F}\left({x}\right)=\frac{\mathrm{3}{x}+\mathrm{2}}{\left({x}+\mathrm{1}\right)^{\mathrm{2}} \left({x}−\mathrm{2}\right)^{\mathrm{3}} } \\…

Question-7932

Question Number 7932 by tawakalitu last updated on 24/Sep/16 Commented by sou1618 last updated on 25/Sep/16 $${set}\:\:{f}\left({x}\right)=\frac{{sinx}}{\mathrm{1}+{x}^{\mathrm{2}} +{x}^{\mathrm{4}} } \\ $$$${f}\left(−{x}\right)=\frac{{sin}\left(−{x}\right)}{\mathrm{1}+\left(−{x}\right)^{\mathrm{2}} +\left(−{x}\right)^{\mathrm{4}} }=−{f}\left({x}\right) \\ $$$${so}…

Question-138994

Question Number 138994 by mathlove last updated on 21/Apr/21 Answered by qaz last updated on 21/Apr/21 $$\int\frac{{dx}}{{xln}\left({x}\right){ln}\left({lnx}\right)}=\int\frac{{d}\left({lnx}\right)}{{ln}\left({x}\right){ln}\left({lnx}\right)}=\int\frac{{d}\left({ln}\left({lnx}\right)\right)}{{ln}\left({lnx}\right)}={ln}\left({ln}\left({lnx}\right)\right)+{C} \\ $$ Terms of Service Privacy Policy Contact:…