Question Number 126499 by liberty last updated on 21/Dec/20 $$\:\:\:\:\mathrm{4}\:\mathrm{arctan}\:\left(\frac{\mathrm{1}}{\mathrm{5}}\right)−\mathrm{arctan}\:\left(\frac{\mathrm{1}}{\mathrm{239}}\right)\:=? \\ $$ Answered by benjo_mathlover last updated on 21/Dec/20 $$\:{let}\:{x}\:=\:\mathrm{tan}^{−\mathrm{1}} \left(\frac{\mathrm{1}}{\mathrm{5}}\right)\:\Rightarrow\mathrm{tan}\:{x}=\frac{\mathrm{1}}{\mathrm{5}} \\ $$$$\:\mathrm{tan}\:\mathrm{2}{x}=\frac{\mathrm{2tan}\:{x}}{\mathrm{1}−\mathrm{tan}\:^{\mathrm{2}} {x}}\:=\:\frac{\mathrm{2}/\mathrm{5}}{\mathrm{1}−\mathrm{1}/\mathrm{25}}\: \\…
Question Number 126497 by danielasebhofoh last updated on 21/Dec/20 Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 60960 by maxmathsup by imad last updated on 27/May/19 $${find}\:\int_{−\infty} ^{+\infty} \:\:{tan}\left(\frac{\mathrm{1}}{\mathrm{1}+{x}^{\mathrm{2}} }\right){dx}\: \\ $$ Commented by mathsolverby Abdo last updated on 28/May/19…
Question Number 126494 by mathmax by abdo last updated on 21/Dec/20 $$\mathrm{calculate}\:\:\:\:\:\:\:\:\:\:\int_{\mathrm{0}} ^{\infty} \:\:\:\:\frac{\mathrm{sinx}}{\mathrm{x}\left(\mathrm{x}^{\mathrm{4}} +\mathrm{1}\right)}\mathrm{dx} \\ $$ Answered by mathmax by abdo last updated on…
Question Number 126493 by mathmax by abdo last updated on 21/Dec/20 $$\mathrm{calculate}\:\:\int_{\mathrm{0}} ^{\infty} \:\:\frac{\mathrm{dx}}{\left(\mathrm{x}^{\mathrm{4}} +\mathrm{1}\right)^{\mathrm{2}} } \\ $$ Answered by Dwaipayan Shikari last updated on…
Question Number 60955 by Tawa1 last updated on 27/May/19 Commented by alphaprime last updated on 27/May/19 hello sir , I want you to join my community to resolve the question no. 60723 , so please provide me your email Commented by Tawa1 last updated on 27/May/19 $$\mathrm{How}\:?…
Question Number 192024 by Shlock last updated on 05/May/23 Answered by a.lgnaoui last updated on 05/May/23 $$\boldsymbol{\mathrm{The}}\:\boldsymbol{\mathrm{shaded}}\:\boldsymbol{\mathrm{Area}}\:\boldsymbol{\mathrm{betwen}} \\ $$$$\left[\boldsymbol{\mathrm{y}}=\mathrm{0},\boldsymbol{\mathrm{y}}=\sqrt{\mathrm{25}−\boldsymbol{\mathrm{x}}^{\mathrm{2}} }\:−\mathrm{3}\:\:;\boldsymbol{\mathrm{y}}=\sqrt{\mathrm{4}−\boldsymbol{\mathrm{x}}^{\mathrm{2}} \:}\right] \\ $$$$\int_{\mathrm{0}} ^{\mathrm{4}} \left(\sqrt{\mathrm{25}−\boldsymbol{\mathrm{x}}^{\mathrm{2}}…
Question Number 192023 by Shlock last updated on 05/May/23 Answered by a.lgnaoui last updated on 06/May/23 $$\boldsymbol{\mathrm{graphe}}\left(\mathrm{1}\right) \\ $$$$\boldsymbol{\mathrm{y}}\:_{\mathrm{1}} \:\:\:\boldsymbol{\mathrm{represente}}\:\boldsymbol{\mathrm{raphe}}\:\boldsymbol{\mathrm{is}}\:\boldsymbol{\mathrm{quart}}\:\boldsymbol{\mathrm{circle}}\:\left(\boldsymbol{\mathrm{radius}}\:\mathrm{2}\right)\:\boldsymbol{\mathrm{centre}}\left(\mathrm{0},\mathrm{0}\right) \\ $$$$\boldsymbol{\mathrm{x}}^{\mathrm{2}} +\boldsymbol{\mathrm{y}}^{\mathrm{2}} =\mathrm{4}\:\:\:\:\:\:\:\:\:\:\:\mathrm{0}<\boldsymbol{\mathrm{x}}<\mathrm{2}\:\:\:\boldsymbol{\mathrm{y}}_{\mathrm{1}} =\sqrt{\mathrm{4}−\boldsymbol{\mathrm{x}}^{\mathrm{2}}…
Question Number 126484 by Mathgreat last updated on 20/Dec/20 Commented by MJS_new last updated on 20/Dec/20 $$\approx\mathrm{1}.\mathrm{63507847} \\ $$ Commented by Mathgreat last updated on…
Question Number 60948 by Kunal12588 last updated on 27/May/19 Commented by Prithwish sen last updated on 27/May/19 $$\mathrm{Let}\:\mathrm{A}\:\mathrm{be}\:\mathrm{the}\:\mathrm{origin}\:\mathrm{of}\:\mathrm{the}\:\mathrm{complex}\:\mathrm{plane}\: \\ $$$$\mathrm{and}, \\ $$$$\mathrm{AB}=\mathrm{2a} \\ $$$$\mathrm{BC}=\mathrm{2b} \\…