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 $${let}\:{decompose}\:{the}\:{fraction}\:{F}\left({x}\right)=\frac{\mathrm{3}{x}+\mathrm{2}}{\left({x}+\mathrm{1}\right)^{\mathrm{2}} \left({x}−\mathrm{2}\right)^{\mathrm{3}} } \\…
Question Number 73478 by abdomathmax last updated on 13/Nov/19 $${find}\:\int_{\mathrm{0}} ^{\mathrm{1}} \:\:\:\:\:\frac{{x}^{\mathrm{3}} −\mathrm{3}}{\:\sqrt{{x}^{\mathrm{2}} −{x}\:+\mathrm{2}}}{dx} \\ $$ Answered by MJS last updated on 13/Nov/19 $$\int\frac{{x}^{\mathrm{3}} −\mathrm{3}}{\:\sqrt{{x}^{\mathrm{3}}…
Question Number 73477 by abdomathmax last updated on 13/Nov/19 $${calculate}\:\int\:\:\:\frac{{x}^{\mathrm{3}} −\mathrm{4}{x}+\mathrm{5}}{{x}^{\mathrm{2}} −{x}\:+\mathrm{1}}{dx} \\ $$ Answered by MJS last updated on 13/Nov/19 $$\int\frac{{x}^{\mathrm{3}} −\mathrm{4}{x}+\mathrm{5}}{{x}^{\mathrm{2}} −{x}+\mathrm{1}}{dx}= \\…
Question Number 7937 by tawakalitu last updated on 24/Sep/16 $${f}\left({x},\:{y}\right)\:=\:{x}^{\mathrm{2}} {siny}\:+\:{cos}\left({x}\:−\:\mathrm{2}{y}\right) \\ $$$${Obtain}\:\:{f}_{{xx}} \:,\:\:{f}_{{yy}} \:,\:\:{f}_{{xy}} \:,\:\:{is}\:\:{f}\left({x},\:{y}\right)\:{contineous}\:? \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 7932 by tawakalitu last updated on 24/Sep/16 Commented by sou1618 last updated on 25/Sep/16 $${set}\:\:{f}\left({x}\right)=\frac{{sinx}}{\mathrm{1}+{x}^{\mathrm{2}} +{x}^{\mathrm{4}} } \\ $$$${f}\left(−{x}\right)=\frac{{sin}\left(−{x}\right)}{\mathrm{1}+\left(−{x}\right)^{\mathrm{2}} +\left(−{x}\right)^{\mathrm{4}} }=−{f}\left({x}\right) \\ $$$${so}…
Question Number 138994 by mathlove last updated on 21/Apr/21 Answered by qaz last updated on 21/Apr/21 $$\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} \\ $$ Terms of Service Privacy Policy Contact:…
Question Number 138993 by bramlexs22 last updated on 21/Apr/21 $$\int\:\sqrt{\mathrm{x}+\sqrt{\mathrm{x}−\sqrt{\mathrm{x}+\sqrt{\mathrm{x}−\sqrt{\mathrm{x}+\sqrt{\mathrm{x}−\sqrt{\mathrm{x}+…}}}}}}}\:\mathrm{dx} \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 138972 by mathmax by abdo last updated on 20/Apr/21 $$\mathrm{calculate}\:\int_{−\infty} ^{+\infty} \:\:\:\frac{\mathrm{cos}^{\mathrm{2}} \left(\mathrm{x}\right)}{\left(\mathrm{x}^{\mathrm{2}} −\mathrm{x}+\mathrm{2}\right)^{\mathrm{2}} }\mathrm{dx} \\ $$ Terms of Service Privacy Policy Contact:…
Question Number 138973 by mathmax by abdo last updated on 20/Apr/21 $$\mathrm{calculate}\:\int_{\mathrm{0}} ^{\infty\:} \:\frac{\mathrm{dx}}{\mathrm{x}^{\mathrm{4}} −\mathrm{x}^{\mathrm{2}} +\mathrm{2}} \\ $$ Answered by mathmax by abdo last updated…
Question Number 7898 by tawakalitu last updated on 23/Sep/16 $$\int{cos}^{\mathrm{6}} {x}\:\:{dx} \\ $$ Commented by sandy_suhendra last updated on 24/Sep/16 $${cos}^{\mathrm{6}} {x}\:=\:\left({cos}^{\mathrm{2}} {x}\right)^{\mathrm{3}} \\ $$$$\:\:\:\:\:\:\:\:\:\:\:\:\:=\:\left(\frac{\mathrm{1}}{\mathrm{2}}+\frac{\mathrm{1}}{\mathrm{2}}{cos}\mathrm{2}{x}\right)^{\mathrm{3}}…