Question Number 204804 by Mastermind last updated on 27/Feb/24 $$\mathrm{Evaluate}\:\int\frac{\mathrm{sinx}}{\mathrm{x}^{\mathrm{4}} +\mathrm{x}^{\mathrm{2}} +\mathrm{1}}\mathrm{dx} \\ $$$$ \\ $$$$ \\ $$$$\mathrm{I}\:\mathrm{need}\:\mathrm{full}\:\mathrm{detailed}\:\mathrm{explanation},\:\mathrm{thank}\:\mathrm{you}\:\mathrm{in} \\ $$$$\mathrm{advance}. \\ $$ Commented by TonyCWX08…
Question Number 204805 by York12 last updated on 27/Feb/24 $$\mathrm{Why}\:\underset{{n}\rightarrow\infty} {\mathrm{lim}}\left({x}^{{n}} {u}_{{n}} \right)=\mathrm{0}\:,\mathrm{When}\:{u}_{{n}} \:\mathrm{is}\:\mathrm{bounded}\: \\ $$ Commented by mr W last updated on 27/Feb/24 $${only}\:{true}\:{if}\:\mid{x}\mid<\mathrm{1}.…
Question Number 204800 by sonukgindia last updated on 27/Feb/24 Answered by mr W last updated on 27/Feb/24 Commented by mr W last updated on 27/Feb/24…
Question Number 204802 by Faetmaaa last updated on 27/Feb/24 $$\mathrm{Wi}-\mathrm{Fi}\:\mathrm{code}\:\mathrm{problem}: \\ $$$$\int_{−\mathrm{2}} ^{\:\mathrm{2}} \left({x}^{\mathrm{3}} \mathrm{cos}\left(\frac{{x}}{\mathrm{2}}\right)+\frac{\mathrm{1}}{\mathrm{2}}\right)\sqrt{\mathrm{4}−{x}^{\mathrm{2}} }\mathrm{d}{x} \\ $$ Answered by TonyCWX08 last updated on 28/Feb/24…
Question Number 204733 by hardmath last updated on 26/Feb/24 $$\mathrm{Find}:\:\:\:\frac{\mathrm{59}^{\mathrm{2}} \:+\:\mathrm{48}^{\mathrm{2}} \:+\:\mathrm{41}^{\mathrm{2}} \:−\:\mathrm{30}^{\mathrm{2}} }{\mathrm{68}^{\mathrm{2}} \:+\:\mathrm{52}^{\mathrm{2}} \:+\:\mathrm{32}^{\mathrm{2}} \:−\:\mathrm{48}^{\mathrm{2}} }\:=\:? \\ $$ Answered by Rasheed.Sindhi last updated…
Question Number 204729 by Amidip last updated on 26/Feb/24 Answered by A5T last updated on 26/Feb/24 $$\frac{{sin}\left(\mathrm{2}{x}\right)}{{AD}}=\frac{{sin}\left(\mathrm{140}−\mathrm{2}{x}\right)}{{AB}};\frac{{sin}\left(\mathrm{140}−\mathrm{3}{x}\right)}{{AD}}=\frac{{sin}\left({x}\right)}{{DC}={AB}} \\ $$$$\Rightarrow\frac{{sin}\left(\mathrm{140}−\mathrm{3}{x}\right)}{{sin}\left({x}\right)}=\frac{{sin}\left(\mathrm{2}{x}\right)}{{sin}\left(\mathrm{140}−\mathrm{2}{x}\right)}\Rightarrow{x}=\mathrm{35}° \\ $$ Terms of Service Privacy…
Question Number 204753 by Tawa11 last updated on 26/Feb/24 A wave has an amplitude of 20cm from rest. If the angle of oscillation is 30⁰.…
Question Number 204717 by BaliramKumar last updated on 26/Feb/24 $$\frac{\mathrm{3}^{\mathrm{0}} +\mathrm{3}^{\mathrm{1}} +\mathrm{3}^{\mathrm{2}} \:+………+\:\mathrm{3}^{\mathrm{200}} }{\mathrm{13}}\:\overset{\mathrm{Remainder}} {=}\:? \\ $$ Answered by Rasheed.Sindhi last updated on 26/Feb/24 $$\mathrm{3}^{\mathrm{0}}…
Question Number 204712 by cortano12 last updated on 26/Feb/24 $$\mathrm{Find}\:\mathrm{all}\:\mathrm{real}\:\mathrm{solution}\: \\ $$$$\:\:\:\:\sqrt{\mathrm{3x}^{\mathrm{2}} +\mathrm{x}−\mathrm{1}}\:+\sqrt{\mathrm{x}^{\mathrm{2}} −\mathrm{2x}−\mathrm{3}}\:=\: \\ $$$$\:\:\sqrt{\mathrm{3x}^{\mathrm{2}} +\mathrm{3x}+\mathrm{5}}\:+\:\sqrt{\mathrm{x}^{\mathrm{2}} +\mathrm{3}}\: \\ $$ Commented by Rasheed.Sindhi last updated…
Question Number 204715 by 073 last updated on 26/Feb/24 $${prove}\:{that} \\ $$$$\overset{\mathrm{1}} {\int}_{\mathrm{0}} \frac{{ln}^{\mathrm{2}} \left(\mathrm{1}−{x}\right)}{{x}}{dx}=\mathrm{2}\zeta\left(\mathrm{3}\right) \\ $$$$ \\ $$ Answered by witcher3 last updated on…