Question Number 134716 by metamorfose last updated on 06/Mar/21 $$\int\frac{{ln}\left({x}\right)}{{x}−\mathrm{1}}{dx}=…?? \\ $$ Answered by Lordose last updated on 06/Mar/21 $$\int\frac{\mathrm{ln}\left(\mathrm{x}\right)}{\mathrm{x}−\mathrm{1}}\mathrm{dx}\:\overset{\mathrm{u}=\mathrm{x}−\mathrm{1}} {=}\int\frac{\mathrm{ln}\left(\mathrm{1}+\mathrm{u}\right)}{\mathrm{u}}\mathrm{du}\:=\:−\mathrm{Li}_{\mathrm{2}} \left(−\mathrm{u}\right)\:+\:\mathrm{C} \\ $$$$\Omega\:=\:−\mathrm{Li}_{\mathrm{2}} \left(\mathrm{1}−\mathrm{x}\right)\:+\:\mathrm{C}…
Question Number 69183 by Tony Lin last updated on 21/Sep/19 Commented by Tony Lin last updated on 21/Sep/19 $$\mathrm{49}.\:{m}_{\mathrm{1}} {g}=\left({m}_{\mathrm{1}} +{m}_{\mathrm{2}} \right){a} \\ $$$$\Rightarrow{a}=\frac{{m}_{\mathrm{1}} {g}}{{m}_{\mathrm{1}}…
Question Number 134719 by 0731619177 last updated on 06/Mar/21 Commented by Dwaipayan Shikari last updated on 06/Mar/21 $$\pi^{\frac{\mathrm{3}}{\mathrm{2}}} −\frac{\mathrm{3}\pi}{\mathrm{2}}.\frac{\Gamma\left(\frac{\mathrm{5}}{\mathrm{3}}\right)}{\Gamma\left(\frac{\mathrm{7}}{\mathrm{6}}\right)} \\ $$ Answered by CutieJanab last…
Question Number 3644 by prakash jain last updated on 17/Dec/15 $$\mathrm{An}\:\mathrm{hexagon}\:\mathrm{of}\:\mathrm{unit}\:\mathrm{side}\:\mathrm{is}\:\mathrm{drawn}\:\mathrm{on}\:\mathrm{plane}. \\ $$$$\mathrm{Draw}\:\mathrm{a}\:\mathrm{square}\:\mathrm{having}\:\mathrm{the}\:\mathrm{same}\:\mathrm{area}\:\mathrm{as}\:\mathrm{the} \\ $$$$\mathrm{hexagon}\:\mathrm{using}\:\mathrm{only}\:\mathrm{unmarked}\:\mathrm{ruler}\:\mathrm{and}\: \\ $$$$\mathrm{compass}. \\ $$$$\mathrm{What}\:\mathrm{if}\:\mathrm{an}\:{n}−\mathrm{gon}\:\mathrm{with}\:\mathrm{unit}\:\mathrm{edges}\:\mathrm{is}\:\mathrm{given}? \\ $$$$\mathrm{Is}\:\mathrm{it}\:\mathrm{always}\:\mathrm{possible}\:\mathrm{to}\:\mathrm{draw}\:\mathrm{a}\:\mathrm{square} \\ $$$$\mathrm{of}\:\mathrm{the}\:\mathrm{same}\:\mathrm{area}\:\mathrm{as}\:{n}−\mathrm{gon}\:\mathrm{using}\:\mathrm{ruler} \\ $$$$\mathrm{and}\:\mathrm{compass}.…
Question Number 134713 by bramlexs22 last updated on 06/Mar/21 $$\mathrm{geometry} \\ $$All the edges of a regular square pyramid have a length of 8. What…
Question Number 69176 by MASANJAJ last updated on 21/Sep/19 $${difference}\:{of}\:{two}\:{complementary}\: \\ $$$${angles}\:{is}\:\mathrm{102}^{°} .{find}\:{two}\:{angles} \\ $$ Commented by mr W last updated on 21/Sep/19 $${you}\:{mean}\:{two}\:{supplementary}\:{angles}? \\…
Question Number 69174 by Aditya789 last updated on 21/Sep/19 $${find}\:{the}\:{value}\:{of}\: \\ $$$${lim}\frac{\mathrm{1}+{cosx}}{{tan}^{\mathrm{2}{x}} } \\ $$$${x}\hat {−}\upuparrows \\ $$ Commented by Henri Boucatchou last updated on…
Question Number 134708 by bramlexs22 last updated on 06/Mar/21 $$\mathscr{D}\:=\:\int_{\mathrm{0}} ^{\:\pi/\mathrm{2}} \mathrm{sin}\:^{\mathrm{4}} \mathrm{x}\:\mathrm{cos}\:^{\mathrm{5}} \mathrm{x}\:\mathrm{dx}\: \\ $$ Answered by john_santu last updated on 06/Mar/21 $$\mathscr{D}\:=\:\int_{\mathrm{0}} ^{\:\pi/\mathrm{2}}…
Question Number 69175 by Aditya789 last updated on 21/Sep/19 $${if}\:{two}\:{finite}\:{sets}\:{have}\:{m}\:{and}\:{n}\:{term}.{if}\:{the}\:{no}\:{of}\:{subset}\:{of}\:{first}\:{set}\:{is}\:\mathrm{112}\:{more}\:{then}\:{the}\:{no}\:{of}\:{subset}\:{of}\:{second}\:{set}.{find}\:{m}\:{and}\:{n}? \\ $$ Answered by Rasheed.Sindhi last updated on 21/Sep/19 $$\mid\mathrm{A}\mid={m}\:,\:\mid\mathrm{B}\mid={n} \\ $$$$\mathrm{P}\left(\mathrm{A}\right)=\mathrm{2}^{{m}} \:,\:\mathrm{P}\left(\mathrm{B}\right)=\mathrm{2}^{{n}} \\ $$$$\mathrm{P}\left(\mathrm{A}\right)−\mathrm{P}\left(\mathrm{B}\right)=\mathrm{2}^{{m}}…
Question Number 69173 by ozodbek last updated on 21/Sep/19 Terms of Service Privacy Policy Contact: info@tinkutara.com