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Question Number 78425 by arkanmath7@gmail.com last updated on 17/Jan/20 $${how}\:{to}\:{solve} \\ $$$${find}\:{inf}\:{and}\:{sup}\:{of}\:{A} \\ $$$$ \\ $$$$\mathrm{1}.\:{A}=\left\{\frac{{m}}{{n}}+\frac{\mathrm{4}{n}}{{m}}\:\:\:{m},{n}\:\in{N}\right\} \\ $$$$\mathrm{2}.\:{A}=\left\{\frac{{mn}}{\mathrm{4}{m}^{\mathrm{2}} \:+\:{n}^{\mathrm{2}} }\:\:{m}\in{Z},{n}\:\in{N}\right\} \\ $$$$\mathrm{3}.\:{A}=\left\{\frac{{m}}{\mid{m}\mid\:+\:{n}}\:\:{m}\in{Z},{n}\:\in{N}\right\} \\ $$$$ \\…

Question Number 143951 by lapache last updated on 19/Jun/21 $$\int_{\mathrm{0}} ^{\frac{\pi}{\mathrm{2}}} \frac{\mathrm{2}{xsin}^{\mathrm{2}} {t}}{{cos}^{\mathrm{2}} {t}+{x}^{\mathrm{2}} {sin}^{\mathrm{2}} {t}}{dt}=…..???? \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com

Question Number 143904 by nadovic last updated on 19/Jun/21 Answered by Dwaipayan Shikari last updated on 19/Jun/21 $$\frac{\mathrm{1}}{\:\sqrt{\pi}}\int_{−\infty} ^{\infty} {e}^{−{x}^{\mathrm{2}} } {dx}=\mathrm{1}\:\:{e}^{\pi{i}} =−\mathrm{1} \\ $$$${p}=\mathrm{2}…

Question Number 78352 by Khyati last updated on 16/Jan/20 $${Find}\:\int\frac{\mathrm{1}}{{cos}^{\mathrm{2}} {x}\left(\mathrm{1}−{tanx}\right)^{\mathrm{2}} }\:{dx} \\ $$ Commented by jagoll last updated on 17/Jan/20 $$\int\:\frac{\mathrm{sec}\:^{\mathrm{2}} {x}\:{dx}}{\left(\mathrm{1}−\mathrm{tan}\:{x}\right)^{\mathrm{2}} }\:=\:−\int\:\frac{{d}\left(\mathrm{1}−\mathrm{tan}\:{x}\right)}{\left(\mathrm{1}−\mathrm{tan}\:{x}\right)^{\mathrm{2}} }…

Question Number 78309 by otchereabdullai@gmail.com last updated on 15/Jan/20 Answered by mind is power last updated on 15/Jan/20 $$\angle\mathrm{BAO}=\angle\mathrm{OBA}=\mathrm{90}−\mathrm{x} \\ $$$$\angle\mathrm{BOA}=\mathrm{180}−\angle\mathrm{ABO}−\angle\mathrm{OAB}=\mathrm{180}−\left(\mathrm{90}−\mathrm{x}+\mathrm{90}−\mathrm{x}\right)=\mathrm{2x} \\ $$$$ \\ $$…