Question Number 4344 by Filup last updated on 12/Jan/16 $$\mathrm{for}\:\int{f}\left({x}\right){dx}={F}\left({x}\right)+{c} \\ $$$$\mathrm{and}\:{sgn}\left({x}\right)=\frac{{x}}{\mid{x}\mid}=\frac{\mid{x}\mid}{{x}}\:\:\:\forall{x}\neq\mathrm{0} \\ $$$$\:\:\:\:\:\:\:\:\:\:\mathrm{let}\:\mathrm{sgn}\left({x}\right)=\mathrm{0}\:\mathrm{for}\:{x}=\mathrm{0} \\ $$$$ \\ $$$$\mathrm{does}\: \\ $$$$\int{sgn}\left({f}\left({x}\right)\right){f}\left({x}\right){dx}={sgn}\left({f}\left({x}\right)\right)\int{f}\left({x}\right){dx} \\ $$$$\because{sgn}\left({f}\left({x}\right)\right)\:\mathrm{is}\:\mathrm{just}\:\mathrm{a}\:\mathrm{constant}\:\pm\mathrm{1}\:\mathrm{or}\:\mathrm{0}. \\ $$ Commented…
Question Number 135413 by sdfg last updated on 13/Mar/21 Commented by sdfg last updated on 13/Mar/21 $${Q}\mathrm{24} \\ $$ Terms of Service Privacy Policy Contact:…
Question Number 69878 by jagannath19 last updated on 28/Sep/19 Commented by mr W last updated on 29/Sep/19 $$\left(\mathrm{3}\right)\:{I} \\ $$ Commented by jagannath19 last updated…
Question Number 135415 by JulioCesar last updated on 13/Mar/21 Commented by liberty last updated on 13/Mar/21 $$\left({nx}+\mathrm{1}\right)^{{p}} \:=\:\underset{{i}=\mathrm{0}} {\overset{{p}} {\sum}}\:{C}_{{i}} ^{\:{p}} \:\left({nx}\right)^{{p}−{i}} \: \\ $$$$\:=\:\left({nx}\right)^{{p}}…
Question Number 69874 by Tinku Tara last updated on 28/Sep/19 $$\mathrm{Hi} \\ $$$$ \\ $$$$\mathrm{We}\:\mathrm{are}\:\mathrm{still}\:\mathrm{working}\:\mathrm{on}\:\mathrm{solving} \\ $$$$\mathrm{android}\:\mathrm{api}\:\mathrm{update}\:\mathrm{and}\:\mathrm{notification} \\ $$$$\mathrm{related}\:\mathrm{issues}.\:\mathrm{The}\:\mathrm{solution}\:\mathrm{of}\:\mathrm{these} \\ $$$$\mathrm{problem}\:\mathrm{will}\:\mathrm{take}\:\mathrm{a}\:\mathrm{few}\:\mathrm{more}\:\mathrm{weeks}. \\ $$$$ \\ $$$$\mathrm{Sorry}\:\mathrm{about}\:\mathrm{the}\:\mathrm{inconvenience}…
Question Number 69873 by Masumsiddiqui399@gmail.com last updated on 28/Sep/19 Commented by mathmax by abdo last updated on 28/Sep/19 $${P}_{{n}−\mathrm{1}} =\prod_{{k}=\mathrm{1}} ^{{n}−\mathrm{1}} \left(\mathrm{1}−{z}_{{k}} \right)\:=\prod_{{k}=\mathrm{1}} ^{{n}−\mathrm{1}} \left(\mathrm{1}−{e}^{\frac{{i}\mathrm{2}{k}\pi}{{n}}}…
Question Number 135405 by muhammadabdallah last updated on 12/Mar/21 Commented by mr W last updated on 13/Mar/21 $${you}\:{should}\:{tell}\:{what}\:{you}\:{are}\:{talking} \\ $$$${about}. \\ $$$${i}\:{guess}\:{you}\:{are}\:{talking}\:{about}\:{the} \\ $$$${period}\:{of}\:{a}\:{torsion}\:{pendulum}.\:{then} \\…
Question Number 69871 by Shamim last updated on 28/Sep/19 $$\mathrm{Here},\:\mathrm{m}^{\mathrm{2}} −\mathrm{n}^{\mathrm{2}\:\:} =\:\mathrm{4}\sqrt{\mathrm{mn}\:}\mathrm{and}\:\mathrm{tan}\theta+\mathrm{sin}\theta=\:\mathrm{m} \\ $$$$\mathrm{then}\:\mathrm{prove}\:\mathrm{that},\:\mathrm{tan}\theta−\mathrm{sin}\theta=\:\mathrm{n}. \\ $$ Answered by MJS last updated on 29/Sep/19 $$\mathrm{first}\:\mathrm{how}\:\mathrm{to}\:\mathrm{solve} \\…
Question Number 135401 by rs4089 last updated on 12/Mar/21 $${find}\:{integrating}\:{factor}\:{or}\:{this}\:{diff}. \\ $$$${equ}^{{n}} \:{for}\:{which}\:{it}\:{become}\:{exact}\: \\ $$$$\left({x}^{\mathrm{2}} −{xy}−{y}^{\mathrm{2}} \right){dy}+{y}^{\mathrm{2}} {dx}=\mathrm{0} \\ $$ Terms of Service Privacy Policy…
Question Number 69866 by Askash last updated on 28/Sep/19 Answered by mr W last updated on 28/Sep/19 Commented by mr W last updated on 28/Sep/19…