Question Number 136400 by mathmax by abdo last updated on 21/Mar/21 $$\mathrm{calculate}\:\:\int\int_{\left[\mathrm{0},\mathrm{1}\right]^{\mathrm{2}} } \:\:\mathrm{e}^{−\left(\mathrm{x}^{\mathrm{2}} +\mathrm{y}^{\mathrm{2}} \right)} \:\:\:\mathrm{arctan}\left(\mathrm{x}^{\mathrm{2}} \:+\mathrm{y}^{\mathrm{2}} \right)\mathrm{dxdy} \\ $$ Terms of Service Privacy…
Question Number 136403 by mathmax by abdo last updated on 21/Mar/21 $$\mathrm{find}\:\int\:\frac{\mathrm{arctan}\left(\mathrm{2x}\right)}{\mathrm{x}+\mathrm{3}}\mathrm{dx} \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 136402 by mathmax by abdo last updated on 21/Mar/21 $$\mathrm{find}\:\mathrm{U}_{\mathrm{n}} =\int_{\frac{\mathrm{1}}{\mathrm{n}}} ^{\mathrm{n}} \:\left(\mathrm{1}−\frac{\mathrm{1}}{\mathrm{x}^{\mathrm{2}} }\right)\mathrm{arctan}\left(\mathrm{x}+\frac{\mathrm{1}}{\mathrm{x}}\right)\mathrm{dx} \\ $$$$\mathrm{and}\:\mathrm{lim}_{\mathrm{n}\rightarrow\infty} \mathrm{U}_{\mathrm{n}} \\ $$ Terms of Service Privacy…
Question Number 70865 by OmerAlattas last updated on 08/Oct/19 Commented by mathmax by abdo last updated on 08/Oct/19 $$=\frac{\mathrm{0}}{\infty}=\mathrm{0} \\ $$ Commented by kaivan.ahmadi last…
Question Number 136396 by mathmax by abdo last updated on 21/Mar/21 $$\mathrm{find}\:\int_{\mathrm{0}} ^{\mathrm{1}} \:\frac{\mathrm{x}^{\mathrm{a}} }{\mathrm{1}−\mathrm{x}}\mathrm{dx} \\ $$ Commented by Dwaipayan Shikari last updated on 21/Mar/21…
Question Number 136399 by mathmax by abdo last updated on 21/Mar/21 $$\mathrm{calculate}\:\int\:\:\frac{\mathrm{dx}}{\mathrm{x}^{\mathrm{n}} \sqrt{\mathrm{x}^{\mathrm{2}} −\mathrm{1}}} \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 5325 by FilupSmith last updated on 08/May/16 Commented by Rasheed Soomro last updated on 08/May/16 $${AB}\:{means}\:{line}-{segment}\:{AB}? \\ $$$${AC},{BC}\:\:{means}\:{arcs}? \\ $$ Commented by FilupSmith…
Question Number 5319 by Rasheed Soomro last updated on 07/May/16 $$\mathrm{A}\:\boldsymbol{\mathrm{sphere}}\:\mathrm{of}\:\mathrm{radius}\:\boldsymbol{\mathrm{r}}\:\mathrm{contains}\:\mathrm{a}\:\boldsymbol{\mathrm{cube}} \\ $$$$\mathrm{inside}\:\mathrm{it}.\:\mathrm{All}\:\mathrm{the}\:\boldsymbol{\mathrm{vertices}}\:\mathrm{of}\:\mathrm{the}\:\mathrm{cube} \\ $$$$\mathrm{touch}\:\mathrm{the}\:\boldsymbol{\mathrm{surface}}\:\mathrm{of}\:\mathrm{sphere}. \\ $$$$\mathrm{What}\:\mathrm{is}\:\mathrm{the}\:\boldsymbol{\mathrm{volume}}\:\mathrm{of}\:\mathrm{the}\:\mathrm{cube}? \\ $$ Answered by Rasheed Soomro last updated…
Question Number 5315 by FilupSmith last updated on 07/May/16 $$\mathrm{My}\:\mathrm{mother}\:\mathrm{is}\:\mathrm{making}\:\mathrm{a}\:\mathrm{game}\:\mathrm{for}\:\mathrm{children} \\ $$$$\mathrm{that}\:\mathrm{involves}\:\mathrm{words}\:\mathrm{on}\:\mathrm{cards}. \\ $$$$\mathrm{e}.\mathrm{g}.\:\mathrm{card}\:\mathrm{one}\:\mathrm{hase}\:\mathrm{words}\:{a}\:\mathrm{and}\:{b}, \\ $$$$\mathrm{for}\:\mathrm{whatever}\:{a}\:\mathrm{and}\:{b}\:\mathrm{might}\:\mathrm{be}. \\ $$$$ \\ $$$$\mathrm{She}\:\mathrm{has}\:\mathrm{a}\:\mathrm{list}\:\mathrm{of}\:\mathrm{20}\:\mathrm{words}\:\mathrm{and}\:\mathrm{she}\:\mathrm{wants}\:\mathrm{cards} \\ $$$$\mathrm{that}\:\mathrm{are}'\mathrm{t}\:\mathrm{duplicate}.\:\mathrm{That}\:\mathrm{is},\:{a}\:{b}\:\mathrm{and}\:{b}\:{a} \\ $$$$\mathrm{are}\:\mathrm{duplicates}. \\…
Question Number 5314 by sanusihammed last updated on 06/May/16 Commented by prakash jain last updated on 08/May/16 $$\mathrm{R}_{\mathrm{2}} \:\mathrm{and}\:\mathrm{R}_{\mathrm{3}} \:\mathrm{are}\:\mathrm{in}\:\mathrm{parallel},\:\mathrm{so}\:\mathrm{equivalent} \\ $$$$\mathrm{resistance}\:=\frac{\mathrm{R}_{\mathrm{2}} ×\mathrm{R}_{\mathrm{3}} }{\mathrm{R}_{\mathrm{2}} +\mathrm{R}_{\mathrm{3}}…