Question Number 136840 by physicstutes last updated on 26/Mar/21 $$\:\int\sqrt{\frac{{x}}{{x}−\mathrm{1}}}\:{dx} \\ $$ Answered by Olaf last updated on 26/Mar/21 $$\mathrm{F}\left({x}\right)\:=\:\int\sqrt{\frac{{x}}{{x}−\mathrm{1}}}\:{dx} \\ $$$$\mathrm{F}\left({u}\right)\:\overset{{x}={u}^{\mathrm{2}} } {=}\:\int\sqrt{\frac{{u}^{\mathrm{2}} }{{u}^{\mathrm{2}}…
Question Number 5765 by sanusihammed last updated on 26/May/16 $$\sqrt{\frac{{x}−\mathrm{1}}{\mathrm{3}{x}+\mathrm{2}}}\:\:\:+\:\:\mathrm{2}\:\left(\sqrt{\frac{\mathrm{3}{x}+\mathrm{2}}{{x}−\mathrm{1}}}\:\right)\:\:=\:\:\mathrm{3} \\ $$$$ \\ $$$${Find}\:{the}\:{value}\:{of}\:{x}\: \\ $$ Commented by prakash jain last updated on 27/May/16 $$\sqrt{\frac{{x}−\mathrm{1}}{\mathrm{3}{x}+\mathrm{2}}}={u}…
Question Number 71301 by turbo msup by abdo last updated on 13/Oct/19 $${let}\:{f}\left({x}\right)=\int_{\mathrm{1}+{x}} ^{\mathrm{1}+{x}^{\mathrm{2}} } \:\frac{{arctan}\left({xt}+\mathrm{2}\right)}{{x}+{t}}{dt} \\ $$$${calculate}\:{f}^{'} \left({x}\right) \\ $$$$\left.\mathrm{2}\right){find}\:{lim}_{{x}\rightarrow\mathrm{0}} {f}\left({x}\right) \\ $$ Terms…
Question Number 5764 by sanusihammed last updated on 26/May/16 $$\mathrm{2}^{{x}} \:=\:\mathrm{4}{x} \\ $$$${Solution} \\ $$$$\mathrm{2}^{{x}} \:=\:\mathrm{4}{x} \\ $$$${This}\:{can}\:{be}\:{re}\:{write}\:{as} \\ $$$$\left(\mathrm{1}+\mathrm{1}\right)^{{x}} \:=\:\mathrm{4}{x} \\ $$$${Using}\:{combination}\:{to}\:{epand} \\ $$$${from}\:{the}\:{identity}.…
Question Number 5763 by sanusihammed last updated on 26/May/16 $${Thanks}.\:{please}\:{can}\:{you}\:{show}\:{me}\:{the}\:{rest}\:{solution}.\:{i}\:{want}\:{to}\: \\ $$$${see}\:{the}\:{last}\:{steps}.\:\:\mathrm{2}^{{x}} \:=\:\mathrm{4}{x}\:.\:\:{Thanks}\:{for}\:{the}\:{time}\:{and}\:{the}\: \\ $$$${previous}\:{solution}. \\ $$ Commented by nburiburu last updated on 25/Jun/16 $${graph}\:{the}\:{functions}\:{y}=\mathrm{2}^{{x}}…
Question Number 5762 by sanusihammed last updated on 26/May/16 $${Find}\:{the}\:{value}\:{of}\:{x}\: \\ $$$$ \\ $$$$\sqrt{{x}^{{x}^{{x}} } }\:\:=\:\:\mathrm{729} \\ $$$$ \\ $$$${Please}\:{show}\:{me}\:{workings}. \\ $$ Commented by FilupSmith…
Question Number 136835 by mnjuly1970 last updated on 26/Mar/21 $$\:\:\:\:\:\:\:\:…..{nice}\:\:\:\:\:{calculus}… \\ $$$$\:\:\:{for}\:\:\:\:{f}\left({x}\right)={f}\left({x}+\pi\right)\:: \\ $$$$\:\:\:\:\:\int_{−\infty} ^{\:\infty} {f}\left({x}\right).\frac{{sin}^{\mathrm{2}} \left({x}\right)}{{x}^{\mathrm{2}} }{dx}\overset{{why}???} {=}\int_{\mathrm{0}} ^{\:\pi} {f}\left({x}\right){dx} \\ $$ Terms of…
Question Number 71294 by Mohamed Amine Bouguezzoul last updated on 13/Oct/19 $${solve}\:{in}\:\mathbb{Z}\:\frac{\mathrm{1}}{{x}}+\frac{\mathrm{1}}{{y}}=\frac{\mathrm{1}}{{p}}\:{with}\:{p}\in\mathbb{P} \\ $$ Commented by Rasheed.Sindhi last updated on 13/Oct/19 $$\frac{{x}+{y}}{{xy}}=\frac{\mathrm{1}}{{p}} \\ $$$$\frac{{xy}}{{x}+{y}}={p} \\…
Question Number 136828 by bramlexs22 last updated on 26/Mar/21 Commented by MJS_new last updated on 26/Mar/21 $$\mathrm{only}\:\mathrm{approximation}\:\mathrm{possible} \\ $$$$\mathrm{I}\:\mathrm{get} \\ $$$${x}\approx−\mathrm{2}.\mathrm{04970745} \\ $$$${x}\approx−\mathrm{1}.\mathrm{03320357} \\ $$$${x}\approx.\mathrm{913597550}…
Question Number 136830 by bramlexs22 last updated on 26/Mar/21 $$ \\ $$Determine all solutions in the integers of the following Diophantine equations: (a)56x+72y=40 (b)24x+138y=18 (c)221x+35y=11…