Question Number 136036 by mathmax by abdo last updated on 18/Mar/21 $$\mathrm{calculate}\:\int_{\mathrm{0}} ^{\infty} \:\frac{\mathrm{logx}}{\mathrm{x}^{\mathrm{4}} \:+\mathrm{x}^{\mathrm{2}} \:+\mathrm{1}}\mathrm{dx} \\ $$ Commented by Ajetunmobi last updated on 18/Mar/21…
Question Number 70503 by peter frank last updated on 04/Oct/19 Commented by Prithwish sen last updated on 06/Oct/19 $$\mathrm{Let}\:\mathrm{O}=\left(\mathrm{x}_{\mathrm{1}} ,\mathrm{y}_{\mathrm{1}} \right) \\ $$$$\because\:\mathrm{It}\:\mathrm{is}\:\mathrm{on}\:\mathrm{the}\:\mathrm{circle}\: \\ $$$$\therefore\boldsymbol{\mathrm{x}}_{\mathrm{1}}…
Question Number 136039 by liberty last updated on 18/Mar/21 $${Find}\:{the}\:{value}\:{of}\:{a}^{\mathrm{2}} +{b}^{\mathrm{2}} \: \\ $$$${for}\:{a},{b}\:{real}\:{number}\:{such}\:{that} \\ $$$$\:{a}\:=\:{b}+\frac{\mathrm{1}}{{a}+\frac{\mathrm{1}}{{b}+\frac{\mathrm{1}}{{a}+…}}} \\ $$$${and}\:{b}\:=\:{a}−\frac{\mathrm{1}}{{b}+\frac{\mathrm{1}}{{a}−\frac{\mathrm{1}}{{b}+…}}} \\ $$ Commented by MJS_new last updated…
Question Number 136038 by frc2crc last updated on 18/Mar/21 $${Find}\:{a}_{{n}\:} {if} \\ $$$$\frac{\mathrm{1}}{{z}^{{m}} }×\mathrm{coth}\:\left(\pi{z}\right)×\mathrm{cot}\:\left({z}\pi\right)=\underset{{n}=\mathrm{0}} {\overset{\infty} {\sum}}{a}_{{n}} {z}^{{n}} \\ $$$${around}\:{z}=\mathrm{0} \\ $$ Terms of Service Privacy…
Question Number 4964 by ankit chakravarti last updated on 27/Mar/16 $$\underset{{x}\rightarrow\mathrm{0}} {{lim}}\frac{\left(\mathrm{1}−\mathrm{cos}\:\mathrm{2}{x}\right)\centerdot\left(\mathrm{3}+\mathrm{cos}\:{x}\right)}{{x}\centerdot\mathrm{tan4}{x}}=? \\ $$$$ \\ $$ Answered by FilupSmith last updated on 29/Mar/16 Commented by…
Question Number 136033 by mathmax by abdo last updated on 18/Mar/21 $$\mathrm{explicite}\:\mathrm{f}\left(\mathrm{t}\right)=\int_{\mathrm{0}} ^{\infty} \:\frac{\mathrm{e}^{−\mathrm{t}\left(\mathrm{1}+\mathrm{x}^{\mathrm{2}} \right)} }{\mathrm{1}+\mathrm{x}^{\mathrm{2}} }\mathrm{dx}\:\:\mathrm{with}\:\mathrm{t}\geqslant\mathrm{0} \\ $$ Terms of Service Privacy Policy Contact:…
Question Number 4963 by ankit chakravarti last updated on 27/Mar/16 $$\Sigma{x}\left({y}^{\mathrm{3}} −{z}^{\mathrm{3}} \right)=…. \\ $$$$ \\ $$ Commented by prakash jain last updated on 27/Mar/16…
Question Number 136032 by mathmax by abdo last updated on 18/Mar/21 $$\mathrm{proof}\:\mathrm{the}\:\mathrm{existence}\:\mathrm{of}\:\:\mathrm{x}_{\mathrm{1}} ,\mathrm{x}_{\mathrm{2}} ,….\mathrm{x}_{\mathrm{n}} \:\mathrm{integr}\:\mathrm{natural}\:/ \\ $$$$\frac{\mathrm{1}}{\mathrm{x}_{\mathrm{1}} }+\frac{\mathrm{1}}{\mathrm{x}_{\mathrm{2}} }+…+\frac{\mathrm{1}}{\mathrm{x}_{\mathrm{n}} }\:=\mathrm{1}\:\:\mathrm{with}\:\mathrm{x}_{\mathrm{i}} \neq\mathrm{x}_{\mathrm{j}} \:\mathrm{for}\:\mathrm{i}\neq\mathrm{j} \\ $$ Terms…
Question Number 70499 by Sayantan chakraborty last updated on 04/Oct/19 Commented by Tinku Tara last updated on 05/Oct/19 $$\mathrm{Hi}\:\mathrm{Sayantan} \\ $$$$\mathrm{Ability}\:\mathrm{to}\:\mathrm{draw}\:\mathrm{shapes}\:\mathrm{is}\:\mathrm{a}\:\mathrm{reaonable} \\ $$$$\mathrm{and}\:\mathrm{we}\:\mathrm{will}\:\mathrm{work}\:\mathrm{on}\:\mathrm{it}. \\ $$$$\mathrm{We}\:\mathrm{gave}\:\mathrm{out}\:\mathrm{work}\:\mathrm{for}\:\mathrm{third}\:\mathrm{party}\:\mathrm{for}…
Question Number 4962 by 123456 last updated on 27/Mar/16 $$\mathrm{is}\:\mathrm{possible}\:\mathrm{to}\:\mathrm{proof}\:\mathrm{that} \\ $$$${f}\left({x}\right)={e}^{{cx}} \\ $$$$\mathrm{obey} \\ $$$${f}\left({x}+{y}\right)={f}\left({x}\right){f}\left({y}\right) \\ $$$$\mathrm{using} \\ $$$${e}^{{x}} =\underset{{n}=\mathrm{0}} {\overset{+\infty} {\sum}}\frac{{x}^{{n}} }{{n}!} \\…