Question Number 143454 by mnjuly1970 last updated on 14/Jun/21 $$ \\ $$$$\:\:\:……..{nice}\:…….{integral}……. \\ $$$$\:\:\mathscr{T}\:\::=\int_{\mathrm{0}} ^{\:\infty} \frac{{arctan}\left({x}\right)}{{x}^{\:{ln}\left({x}\right)\:+\mathrm{1}} }{dx}\overset{?} {=}\frac{\pi\sqrt{\pi}}{\mathrm{4}} \\ $$$$ \\ $$ Answered by mindispower…
Question Number 143429 by mnjuly1970 last updated on 14/Jun/21 $$\:\: \\ $$$$\:\:\:\:\:\:\:…….\:{nice}\:…..{integral}……. \\ $$$$\:\:\:\:{Evaluate}\::: \\ $$$$\:\:\:\:\:\:\:\:\xi\::=\:\int_{\mathrm{0}} ^{\:\mathrm{1}} \:\frac{{ln}\left(\mathrm{1}−{t}\right)}{\mathrm{1}+{t}^{\mathrm{2}} }\:{dt}\:=? \\ $$ Answered by Dwaipayan Shikari…
Question Number 77842 by jagoll last updated on 11/Jan/20 $${given}\: \\ $$$${f}\left({x}\right)=\:{x}^{\mathrm{2}} +\mathrm{sin}\left(\mathrm{2}{x}\right)\:+\:\int\underset{\mathrm{0}} {\overset{\frac{\pi}{\mathrm{4}}} {\:}}{f}\left({x}\right){dx} \\ $$$${f}\left(\frac{\pi}{\mathrm{2}}\right)=? \\ $$ Answered by mr W last updated…
Question Number 12275 by @ANTARES_VY last updated on 17/Apr/17 $$\oint\left(\boldsymbol{\mathrm{x}}\right)=\frac{\boldsymbol{\mathrm{x}}}{\mathrm{1}−\boldsymbol{\mathrm{x}}}.\:\:\:\:\:\oint'\left(\mathrm{2}\right)=?. \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 77810 by jagoll last updated on 10/Jan/20 $${what}\:{is}\:{minimum}\:{value} \\ $$$${of}\:{function}\:{f}\left({x}\right)= \\ $$$$\sqrt{{x}^{\mathrm{2}} +\mathrm{4}}\:+\sqrt{{x}^{\mathrm{2}} −\mathrm{24}{x}+\mathrm{153}} \\ $$ Answered by MJS last updated on 10/Jan/20…
Question Number 143231 by mnjuly1970 last updated on 11/Jun/21 $$…..{mathematical}\:……{Analysis}…. \\ $$$$\:{if}\:::\:\:\:\boldsymbol{\phi}\left({n}\right):=\int_{\mathrm{0}} ^{\:\mathrm{1}} {x}^{\mathrm{2}{n}−\mathrm{1}} {log}\left(\mathrm{1}+{x}\right){dx} \\ $$$$\:{then}\:\:{find}\:\:{the}\:{value}\:{of}\:\:::\: \\ $$$$\:\:\:\:\:\:\:\:\:\:\:\:\Theta:=\:\underset{{n}=\mathrm{1}} {\overset{\infty} {\sum}}\left(−\mathrm{1}\right)^{{n}} \boldsymbol{\phi}\left({n}\right)\: \\ $$$$\:\:\:\:\:\:…….{m}.{n} \\…
Question Number 12155 by tawa last updated on 15/Apr/17 $$\mathrm{Find}\:\mathrm{the}\:\mathrm{35th}\:\mathrm{derivative}\:\mathrm{of}\:\:\left(\mathrm{2x}^{\mathrm{3}} \:+\:\mathrm{5x}^{\mathrm{4}} \right)^{\mathrm{60}} \\ $$ Answered by mrW1 last updated on 15/Apr/17 $${y}=\left(\mathrm{2}{x}^{\mathrm{3}} +\mathrm{5}{x}^{\mathrm{4}} \right)^{\mathrm{60}} =\underset{{k}=\mathrm{0}}…
Question Number 77605 by lémùst last updated on 08/Jan/20 $$\mathrm{how}\:\mathrm{to}\:\mathrm{solve}\:: \\ $$$$\mathrm{y}''+\mathrm{p}\left(\mathrm{x}\right)\mathrm{y}'+\mathrm{q}\left(\mathrm{x}\right)\mathrm{y}=\mathrm{r}\left(\mathrm{x}\right) \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 143113 by qaz last updated on 10/Jun/21 $$\mathrm{x}^{\mathrm{3}} =\frac{\mathrm{1}}{\mathrm{3}!}\int_{\mathrm{0}} ^{\mathrm{x}} \mathrm{f}\left(\mathrm{x}−\mathrm{t}\right)\mathrm{f}\left(\mathrm{t}\right)\mathrm{dt} \\ $$$$\mathrm{f}\left(\mathrm{x}\right)=? \\ $$ Commented by mr W last updated on 10/Jun/21…
Question Number 77574 by jagoll last updated on 08/Jan/20 $${what}\:{is}\:{maximum}\: \\ $$$${value}\:{of}\:{y}=\:\left(\mathrm{3}{x}+\mathrm{4}\right)^{\mathrm{2}} ×\mathrm{sin}\:\left(\mathrm{2}{x}\right) \\ $$ Commented by MJS last updated on 08/Jan/20 $$\mathrm{sin}\:\mathrm{2}{x}\:=−\mathrm{1}\:\Rightarrow\:{x}={n}\pi−\frac{\pi}{\mathrm{4}}=\frac{\mathrm{4}{n}−\mathrm{1}}{\mathrm{4}}\pi \\ $$$$\mathrm{sin}\:\mathrm{2}{x}\:=+\mathrm{1}\:\Rightarrow\:{x}={n}\pi+\frac{\pi}{\mathrm{4}}=\frac{\mathrm{4}{n}+\mathrm{1}}{\mathrm{4}}\pi…