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Category: Integration

ln-x-x-2-1-x-2-1-3-dx-

Question Number 93193 by john santu last updated on 11/May/20 $$\int\:\frac{\mathrm{ln}\left(\mathrm{x}+\sqrt{\mathrm{x}^{\mathrm{2}} −\mathrm{1}}\right)}{\:\sqrt{\left(\mathrm{x}^{\mathrm{2}} −\mathrm{1}\right)^{\mathrm{3}} }}\:\mathrm{dx}\:?\: \\ $$ Commented by abdomathmax last updated on 14/May/20 $${I}\:=\int\:\:\frac{{ln}\left({x}+\sqrt{{x}^{\mathrm{2}} −\mathrm{1}}\right)}{\:\sqrt{\left({x}^{\mathrm{2}}…

Question-27643

Question Number 27643 by ajfour last updated on 11/Jan/18 Commented by Rasheed.Sindhi last updated on 12/Jan/18 $$\mathrm{Sir}\:\mathrm{Ajfour},\:\mathrm{please}\:\mathrm{help}\:\mathrm{me}\:\mathrm{in} \\ $$$$\mathrm{Q}#\mathrm{27627}\:\&\:\mathrm{Q}#\mathrm{27422} \\ $$ Answered by mrW2 last…

dx-sin-3-x-cos-5-x-

Question Number 93175 by i jagooll last updated on 11/May/20 $$\int\:\frac{\mathrm{dx}}{\:\sqrt{\mathrm{sin}\:^{\mathrm{3}} \:\left(\mathrm{x}\right).\mathrm{cos}\:^{\mathrm{5}} \left(\mathrm{x}\right)}}\:?\: \\ $$ Commented by i jagooll last updated on 11/May/20 what is the idea to solve this problem, prof mr mjs? Answered…

0-1-ln-ln-1-x-dx-

Question Number 158697 by amin96 last updated on 07/Nov/21 $$\int_{\mathrm{0}} ^{\mathrm{1}} {ln}\left({ln}\left(\mathrm{1}−{x}\right)\right){dx}=? \\ $$ Answered by mnjuly1970 last updated on 08/Nov/21 $$\:\:\:\mathrm{1}−{x}=\:{u}\: \\ $$$$\:\:\:\:\:\:\Omega={Re}\left\{\int_{\mathrm{0}} ^{\:\mathrm{1}}…