Question Number 65678 by mathmax by abdo last updated on 01/Aug/19 $${calculate}\:\:\int\:\:\:\:\frac{\mathrm{3}{x}+\mathrm{1}}{\left({x}^{\mathrm{2}} −\mathrm{4}\right)\left({x}^{\mathrm{3}} +\mathrm{2}{x}−\mathrm{3}\right)}{dx} \\ $$ Commented by mathmax by abdo last updated on 03/Aug/19…
Question Number 143 by adarshkumar.9935 last updated on 25/Jan/15 $$\mathrm{tan}\:\left(\mathrm{90}−\theta\right)=? \\ $$ Answered by ganeshfrnds231 last updated on 11/Dec/14 $${sec} \\ $$ Commented by vkulkarni…
Question Number 65679 by mathmax by abdo last updated on 01/Aug/19 $${let}\:\:{A}_{{n}} =\int_{−\infty} ^{+\infty} \:\:\:\frac{{cos}\left(\mathrm{2}^{{n}} {x}\right)}{\left({x}^{\mathrm{2}} +\mathrm{3}\right)^{\mathrm{2}} }{dx} \\ $$$$\left.\mathrm{1}\right)\:{calculate}\:{A}_{{n}} \:{interms}\:{of}\:{n} \\ $$$$\left.\mathrm{2}\right){find}\:{nsture}\:{of}\:{the}\:{serie}\:\Sigma{A}_{{n}} \:\:\:\:{and}\:\Sigma{n}^{{n}} \:{A}_{{n}}…
Question Number 142 by shahid.ansari56@yahoo.com last updated on 25/Jan/15 $$\mathrm{4665789}\boldsymbol{\div}\mathrm{567} \\ $$ Answered by 123456 last updated on 13/Dec/14 $$\frac{\mathrm{4665789}}{\mathrm{567}}=\frac{\mathrm{1555263}}{\mathrm{189}}=\frac{\mathrm{518421}}{\mathrm{63}}=\frac{\mathrm{172807}}{\mathrm{21}} \\ $$ Terms of Service…
Question Number 65676 by mathmax by abdo last updated on 01/Aug/19 $${calculate}\:\int_{\mathrm{0}} ^{\infty} \:{e}^{−{x}^{\mathrm{2}} −\frac{\mathrm{1}}{{x}^{\mathrm{2}} }} {dx} \\ $$ Commented by ~ À ® @…
Question Number 141 by shahid.ansari56@yahoo.com last updated on 25/Jan/15 $$\mathrm{56546557}\boldsymbol{\div}{vb}\mathrm{65} \\ $$$$ \\ $$ Answered by 123456 last updated on 14/Dec/14 $$\frac{\mathrm{56546557}}{\mathrm{65}{vb}},{vb}\neq\mathrm{0} \\ $$ Terms…
Question Number 131214 by shaker last updated on 02/Feb/21 Answered by Ar Brandon last updated on 02/Feb/21 $$\mathrm{A}=\sqrt{\mathrm{3}\sqrt{\mathrm{5}\sqrt{\mathrm{3}\sqrt{\mathrm{5}…}}}}\:\Rightarrow\mathrm{A}=\sqrt{\mathrm{3}\sqrt{\mathrm{5A}}} \\ $$$$\Rightarrow\mathrm{A}^{\mathrm{4}} =\mathrm{9}×\mathrm{5A}\:\Rightarrow\mathrm{A}^{\mathrm{4}} −\mathrm{45A}=\mathrm{0} \\ $$$$\Rightarrow\mathrm{A}\left(\mathrm{A}^{\mathrm{3}} −\mathrm{45}\right)=\mathrm{A}\left(\mathrm{A}^{\mathrm{3}}…
Question Number 65677 by mathmax by abdo last updated on 01/Aug/19 $${let}\:{S}_{{n}} =\sum_{{k}=\mathrm{1}} ^{{n}} \:\frac{\mathrm{1}}{\:\sqrt{{k}^{\mathrm{2}} +{k}}} \\ $$$$\left.\mathrm{1}\right)\:{find}\:{a}\:{equivalent}\:{of}\:{S}_{{n}} \:{when}\:{n}\rightarrow+\infty \\ $$$$\left.\mathrm{2}\right){prove}\:{that}\:\left({S}_{{n}} \right)\:{is}\:{convergent}. \\ $$ Terms…
Question Number 65674 by mathmax by abdo last updated on 01/Aug/19 $${find}\:{the}\:{value}\:{of}\:\sum_{{n}=\mathrm{2}} ^{\infty} \:\frac{{n}}{\left({n}+\mathrm{1}\right)^{\mathrm{2}} \left({n}−\mathrm{1}\right)^{\mathrm{3}} } \\ $$ Commented by mathmax by abdo last updated…
Question Number 139 by shaleen last updated on 25/Jan/15 $$\boldsymbol{{express}}\:\boldsymbol{{the}}\:\boldsymbol{{folowing}}\:\boldsymbol{{in}}\:\boldsymbol{{the}}\mathrm{0}.\mathrm{6}\left(\boldsymbol{{bar}}\right)= \\ $$$$\boldsymbol{{form}}\:\boldsymbol{{of}}\:\boldsymbol{{p}}/\boldsymbol{{q}}\:;{where}\:{p}\:{and}\:{q} \\ $$$${are}\:{integers}\:{and}\:{q}\:{is}\:{not}\:=\mathrm{0} \\ $$$$\mathrm{0}.\bar {\mathrm{6}} \\ $$ Answered by vkulkarni last updated on…