Question Number 223101 by Jubr last updated on 14/Jul/25 Commented by Tawa11 last updated on 15/Jul/25 $$?\:\:=\:\:\frac{\mathrm{16}}{\mathrm{25}}\left(?\:\:+\:\:\mathrm{76}.\mathrm{5}\right) \\ $$$$\therefore\:\:\:\:?\:\:\:=\:\:\:\mathrm{136}\:\mathrm{cm}^{\mathrm{2}} \\ $$ Commented by mr W…
Question Number 223096 by fantastic last updated on 14/Jul/25 $$\underset{−\frac{\mathrm{1}}{\:\sqrt{\mathrm{3}}}} {\overset{\frac{\mathrm{1}}{\:\sqrt{\mathrm{3}}}} {\int}}\:\:\frac{{x}^{\mathrm{4}} }{\mathrm{1}−{x}^{\mathrm{4}} }\mathrm{cos}^{−\mathrm{1}} \left(\frac{\mathrm{2}}{\mathrm{1}+{x}^{\mathrm{2}} }\right){dx}=? \\ $$ Answered by MathematicalUser2357 last updated on 22/Jul/25…
Question Number 223090 by MrGaster last updated on 14/Jul/25 $$\int_{\mathrm{0}} ^{\infty} \frac{{x}^{\mathrm{2}} }{\left(\mathrm{cosh}\left({x}^{\mathrm{2}} \right)\right)^{\mathrm{2}} }\mathrm{d}{x} \\ $$ Commented by Tawa11 last updated on 18/Jul/25 $$\mathrm{I}\:\mathrm{got}:\:\:\:\:\:\frac{\sqrt{\pi}}{\mathrm{2}\sqrt{\mathrm{2}}}\:\eta\left(\frac{\mathrm{1}}{\mathrm{2}}\right)\:\:\:\:\mathrm{where}\:\:\eta\:\:\mathrm{is}\:\:'\mathrm{Eta}'\:\:\mathrm{function}.…
Question Number 223085 by wewji12 last updated on 14/Jul/25 Answered by wewji12 last updated on 14/Jul/25 $$\mathrm{if}\:\mathrm{sequence}\:{A}_{{n}} \:\mathrm{is}\:\mathrm{monotonic}\:\mathrm{decrease}.\: \\ $$$$\bullet\:\:{A}_{{n}} \:\mathrm{satisfie}\:{A}_{\mathrm{0}} \geq{A}_{\mathrm{1}} \geq….\geq{A}_{{n}} \\ $$$$\bullet\:\:\underset{{n}\rightarrow\infty}…
Question Number 223082 by DarthMath last updated on 14/Jul/25 $${if}\:\underset{{x}\rightarrow+\infty} {{lim}x}−{f}\left({x}\right)=+\infty\:{and}\:\underset{{x}\rightarrow+\infty} {{lim}x}+{f}\left({x}\right)=+\infty \\ $$$${can}\:{we}\:{determine}\:\underset{{x}\rightarrow+\infty} {{lim}}\frac{{x}−{f}\left({x}\right)}{{x}+{f}\left({x}\right)} \\ $$$$ \\ $$ Terms of Service Privacy Policy Contact:…
Question Number 223076 by Nicholas666 last updated on 14/Jul/25 $$ \\ $$$$\:\:\:\:\:\:\:\mathrm{Evaluate}\::\:\int_{\mathrm{0}} ^{\mathrm{1}} \:\mathrm{ln}^{\mathrm{3}} \left(\mathrm{1}−{x}\right)\:\mathrm{ln}^{\mathrm{2}} \left({x}+\mathrm{1}\right)\:\mathrm{d}{x}\:\:\:\:\:\:\:\:\: \\ $$$$ \\ $$ Terms of Service Privacy Policy…
Question Number 223078 by Nicholas666 last updated on 14/Jul/25 $$ \\ $$$$\:\:\:\:\:\:\mathrm{Evaluate}\::\:\int\:\frac{\mathrm{ln}\:{x}\:\mathrm{ln}\left(\mathrm{1}+{x}^{\mathrm{2}} \right)}{{x}}\:\mathrm{d}{x}\: \\ $$$$ \\ $$ Answered by MrGaster last updated on 14/Jul/25 Terms…
Question Number 223079 by Nicholas666 last updated on 14/Jul/25 $$\:\:\:\:\:\:\:\:\:\:\: \\ $$$$\:\:\:\boldsymbol{\mathrm{Evaluate}}\::\:\int_{\mathrm{0}} ^{\mathrm{1}} \:\frac{\mathrm{arctan}\left({x}\right)}{{x}}\:\mathrm{Li}_{\mathrm{2}} \left({x}\right)\:\mathrm{d}{x} \\ $$$$ \\ $$ Answered by MrGaster last updated on…
Question Number 223032 by MrGaster last updated on 13/Jul/25 $$ \\ $$$$\:\:\:\:\underset{{t}=\mathrm{0}} {\overset{\mathrm{2}^{\mathrm{2024}} } {\prod}}\left(\mathrm{4sin}^{\mathrm{2}} \frac{{t}\pi}{\mathrm{2}^{\mathrm{2025}} }−\mathrm{3}\right) \\ $$ Answered by MrGaster last updated on…
Question Number 223066 by fantastic last updated on 13/Jul/25 Commented by fantastic last updated on 13/Jul/25 $${Area}\:{of}\:{semicircle}\:{in}\:{terms}\:{of}\:{a}\:{and}\:{b} \\ $$$$ \\ $$ Answered by mr W…