Question Number 68600 by Abdo msup. last updated on 14/Sep/19 $$\left.\mathrm{1}\right){calculatef}\left({a}\right)=\:\:\int_{\mathrm{0}} ^{\infty} \:\:\frac{{cos}\left({arctanx}\right)}{{a}+{x}^{\mathrm{2}} }{dx}\:{with}\:{a}>\mathrm{0} \\ $$$$\left.\mathrm{2}\right)?{calculste}\:\:{g}\left({a}\right)\:=\int_{\mathrm{0}} ^{\infty} \:\frac{{cos}\left({arctanx}\right)}{\left({a}+{x}^{\mathrm{2}} \right)^{\mathrm{2}} } \\ $$$$\left.\mathrm{3}\right){find}\:{the}\:{value}\:{if}\:{integrals} \\ $$$$\int_{\mathrm{0}} ^{\infty}…
Question Number 68601 by Maclaurin Stickker last updated on 14/Sep/19 $${ABCD}\:\mathrm{is}\:\mathrm{a}\:\mathrm{side}\:\mathrm{square}\:\mathrm{1}.\: \\ $$$${B},\:{F}\:\mathrm{and}\:{E}\:\mathrm{are}\:\mathrm{collinear}. \\ $$$${FDE}\:\mathrm{is}\:\mathrm{a}\:\mathrm{right}\:\mathrm{triangle}\:\mathrm{with}\:\mathrm{hypotenuse}\:\mathrm{1} \\ $$$$\mathrm{and}\:\mathrm{the}\:{DE}\:\mathrm{cathetus}\:\mathrm{is}\:\mathrm{worth}\:\boldsymbol{{x}}.\: \\ $$$$\mathrm{What}\:\mathrm{is}\:\mathrm{the}\:\mathrm{value}\:\mathrm{of}\:\boldsymbol{{x}}? \\ $$$$\left(\mathrm{Solve}\:\mathrm{with}\:\mathrm{algebra}\right) \\ $$ Commented by…
Question Number 68598 by Abdo msup. last updated on 14/Sep/19 $$\:{find}\:\int\:\:\:\:\frac{{dx}}{{x}^{\mathrm{3}} −\mathrm{4}{x}\:+\mathrm{3}} \\ $$ Commented by turbo msup by abdo last updated on 14/Sep/19 $${let}\:{I}\:=\int\:\:\frac{{dx}}{{x}^{\mathrm{3}}…
Question Number 3062 by 123456 last updated on 04/Dec/15 $$\omega\left({z}\right)\:\left(\mathrm{Q3035}\right) \\ $$$$\mathrm{does} \\ $$$$\omega\left({z}\right)=\mathrm{0}\:\mathrm{for}\:{z}\in\mathbb{N}^{\ast} ? \\ $$ Commented by Filup last updated on 04/Dec/15 $$\mathrm{What}\:\mathrm{is}\:\mathbb{N}^{\ast}…
Question Number 134135 by Agnibhoo last updated on 28/Feb/21 $$\mathrm{If}\:\mathrm{P}\:=\:\mathrm{2}\:+\:\frac{\mathrm{1}}{\mathrm{P}}\:\mathrm{then}\:\mathrm{what}\:\mathrm{is}\:\mathrm{the}\:\mathrm{answer}\:\mathrm{of} \\ $$$$\mathrm{P}^{\mathrm{2}} \:−\:\frac{\mathrm{1}}{\mathrm{P}^{\mathrm{2}} }\:?\:\: \\ $$ Answered by Ñï= last updated on 28/Feb/21 $${p}^{\mathrm{2}} −\frac{\mathrm{1}}{{p}^{\mathrm{2}}…
Question Number 68596 by Abdo msup. last updated on 14/Sep/19 $${calculate}\:\int_{\frac{\pi}{\mathrm{2}}} ^{\frac{\pi}{\mathrm{3}}} \:\:\:\:\frac{{xdx}}{\mathrm{3}+{cosx}} \\ $$ Commented by mathmax by abdo last updated on 15/Sep/19 $${changeent}\:{tan}\left(\frac{{x}}{\mathrm{2}}\right)={t}\:{give}…
Question Number 3061 by Rasheed Soomro last updated on 04/Dec/15 $$\mathrm{Determine}\:\:\mathrm{nth}\:\:\mathrm{term}\:\mathrm{of}\:\mathrm{the}\:\mathrm{following}\:\mathrm{sequence} \\ $$$$\mathrm{1},\mathrm{0},−\mathrm{1},\mathrm{0},\mathrm{7},\mathrm{28},\mathrm{79},… \\ $$ Commented by prakash jain last updated on 04/Dec/15 $${one}\:{techinque}\:{is}\:{to}\:{define} \\…
Question Number 134134 by mr W last updated on 28/Feb/21 $$\mathrm{If}\:\mathrm{cos}^{−\mathrm{1}} {x}_{\mathrm{1}} +\mathrm{cos}^{−\mathrm{1}} {x}_{\mathrm{2}} +…+\mathrm{cos}^{−\mathrm{1}} {x}_{{n}} ={n}\pi, \\ $$$$\mathrm{then}\:\:{x}_{\mathrm{1}} \:+\:{x}_{\mathrm{2}} ^{\mathrm{2}} \:+\:{x}_{\mathrm{3}} ^{\mathrm{3}} \:+\:…+\:{x}_{{n}} ^{{n}}…
Question Number 68597 by Abdo msup. last updated on 14/Sep/19 $${calculate}\:\int_{\mathrm{0}} ^{\infty} \:\:\:\frac{{arctan}\left({e}^{{x}^{\mathrm{2}} } \right)}{{x}^{\mathrm{2}} \:+\mathrm{8}}{dx} \\ $$ Commented by mathmax by abdo last updated…
Question Number 68594 by Abdo msup. last updated on 14/Sep/19 $${calculate}\:\:\int_{\mathrm{0}} ^{\mathrm{2}\pi} \:\:\frac{{dx}}{{cosx}\:+{sin}\left(\mathrm{2}{x}\right)} \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com