Question Number 65148 by Tawa1 last updated on 25/Jul/19 Commented by Tony Lin last updated on 25/Jul/19 Commented by Tony Lin last updated on 25/Jul/19…
Question Number 130678 by EDWIN88 last updated on 28/Jan/21 $$\:\int\:\frac{\mathrm{3}\sqrt{{x}}}{{x}−\mathrm{1}}\:{dx}\:?\: \\ $$ Answered by liberty last updated on 28/Jan/21 $$\mathrm{L}\:=\:\int\:\frac{\mathrm{3}\sqrt{\mathrm{x}}}{\mathrm{x}−\mathrm{1}}\:\mathrm{dx}\:;\:\left[\:\mathrm{x}=\mathrm{u}^{\mathrm{2}} \:\right] \\ $$$$\mathrm{L}=\mathrm{6}\int\:\frac{\mathrm{u}^{\mathrm{2}} }{\mathrm{u}^{\mathrm{2}} −\mathrm{1}}\:\mathrm{du}\:=\:\mathrm{6}\int\:\left(\mathrm{1}+\frac{\mathrm{1}}{\mathrm{u}^{\mathrm{2}}…
Question Number 130679 by LYKA last updated on 28/Jan/21 Commented by liberty last updated on 28/Jan/21 $$\:\underset{{x},\mathrm{y},\mathrm{z}\rightarrow\left(\mathrm{0},\mathrm{1},\mathrm{2}\right)} {\mathrm{lim}e}^{\mathrm{xy}} .\mathrm{cos}\:\left(\frac{\pi\left(\mathrm{y}^{\mathrm{2}} +\mathrm{z}^{\mathrm{2}} \right)}{\mathrm{3}}\right)\:?\: \\ $$ Commented by…
Question Number 130676 by EDWIN88 last updated on 28/Jan/21 $$\int_{\mathrm{0}} ^{\:\mathrm{1}} \:\frac{\mathrm{ln}\:\left(\mathrm{1}+{x}+{x}^{\mathrm{2}} \right)}{{x}}\:{dx}\:? \\ $$ Answered by mathmax by abdo last updated on 28/Jan/21 $$\mathrm{I}\:=\int_{\mathrm{0}}…
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Question Number 65137 by Tony Lin last updated on 25/Jul/19 $$\int\frac{{dx}}{\left({x}−\mathrm{2}\right)^{\mathrm{3}} \left({x}+\mathrm{1}\right)^{\mathrm{2}} }=? \\ $$ Commented by mathmax by abdo last updated on 25/Jul/19 $${let}\:{I}\:=\int\:\:\:\frac{{dx}}{\left({x}−\mathrm{2}\right)^{\mathrm{3}}…
Question Number 130673 by yoba last updated on 27/Jan/21 Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 130670 by EDWIN88 last updated on 27/Jan/21 $$\:{Given}\:{f}\left({x}\right)=\sqrt{{ax}+{b}}\:;\:{g}\left({x}\right)={px}+{q} \\ $$$${and}\:{f}\left({x}\right)<{g}\left({x}\right)\:{has}\:{solution} \\ $$$$\mathrm{1}<{x}<\mathrm{5}.\:{Give}\:{one}\:{example}\:{f}\left({x}\right) \\ $$$${and}\:{g}\left({x}\right)\:{satisfy}\:{the}\:{condition} \\ $$ Commented by MJS_new last updated on 28/Jan/21…
Question Number 65134 by turbo msup by abdo last updated on 25/Jul/19 $${let}\:{U}_{{n}} \:{a}\:{sequence}\:{U}_{\mathrm{0}} ={a}\:{and} \\ $$$${U}_{{n}} ={nU}_{{n}−\mathrm{1}} \:\:\:−\mathrm{2}\:\:\:\left({n}>\mathrm{0}\right) \\ $$$${calculate}\:{U}_{{n}} \:{interms}\:{of}\:{n}. \\ $$ Commented…
Question Number 65133 by turbo msup by abdo last updated on 25/Jul/19 $${find}\:{f}\left({x}\right)=\int_{\mathrm{0}} ^{\frac{\pi}{\mathrm{4}}} {ln}\left({sint}\:+{xcost}\right){dt} \\ $$$${x}\:{real}. \\ $$ Commented by mathmax by abdo last…