Question Number 157823 by mnjuly1970 last updated on 28/Oct/21 $$ \\ $$$$\:\:\:\:\:\:\:{calculate}\:: \\ $$$$\:\:\:\:\Omega\::=\:\underset{{n}=\mathrm{0}} {\overset{\infty} {\sum}}\frac{\:\mathrm{1}}{\left(\mathrm{4}{n}+\mathrm{1}\right)^{\:\mathrm{3}} }\:\:\:=\:? \\ $$$$\: \\ $$ Answered by qaz last…
Question Number 26738 by goswamisubhabrata007@gmail.com last updated on 28/Dec/17 Commented by prakash jain last updated on 28/Dec/17 $$\int{e}^{{x}} \left(\mathrm{log}\:{x}+\frac{\mathrm{1}}{{x}}\right){dx} \\ $$$$\int{e}^{{x}} \left[{f}\left({x}\right)+{f}'\left({x}\right)\right]{dx} \\ $$$$=\int{e}^{{x}} {f}\left({x}\right){dx}+\int{e}^{{x}}…
Question Number 92232 by M±th+et+s last updated on 05/May/20 Commented by M±th+et+s last updated on 05/May/20 $${find}\:\int_{{C}} \frac{{e}^{{z}} −\mathrm{1}}{{z}^{\mathrm{2}} \left({z}−\mathrm{1}\right)}{dz} \\ $$ Terms of Service…
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Question Number 92228 by ~blr237~ last updated on 05/May/20 $$\:{Are}\:{there}\:{infinite}\:{prime}\:{number}\:{p}\:{such}\:{as} \\ $$$$\:\:\:{p}!\equiv\mathrm{1}\left[{p}+\mathrm{2}\right]\: \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 157744 by mnjuly1970 last updated on 27/Oct/21 $$ \\ $$$$\:\:\:\:\int_{\mathrm{0}} ^{\:\mathrm{1}} \frac{\:\:\mathrm{Li}_{\:\mathrm{2}} \:\left(−\mathrm{x}\:\right)\:}{\mathrm{1}+\:\mathrm{x}}\mathrm{dx}=? \\ $$$$ \\ $$$$ \\ $$ Answered by mindispower last…
Question Number 157750 by cortano last updated on 27/Oct/21 $$\:\int_{\mathrm{0}} ^{\infty} \frac{\mathrm{1}−\mathrm{cos}\:\mathrm{4}{x}}{{xe}^{{x}} }\:{dx}=? \\ $$ Answered by qaz last updated on 27/Oct/21 $$\int_{\mathrm{0}} ^{\infty} \frac{\mathrm{1}−\mathrm{cos}\:\mathrm{4x}}{\mathrm{xe}^{\mathrm{x}}…
Question Number 92188 by ~blr237~ last updated on 05/May/20 $${let}\:{a},{b},{c}\:{be}\:{three}\:{digits}\:{all}\:{different}\:{of}\:{zero} \\ $$$${Prove}\:{that}\:\frac{{ac}}{{cb}}=\frac{{a}}{{b}}\:\Leftrightarrow\:\forall\:{n}\geqslant\mathrm{1}\:\:\:\:\frac{{accc}…{cc}}{{ccc}…{ccb}}\:=\frac{{a}}{{b}}\:\:\: \\ $$$${the}\:{number}\:{accc}…{cc}\:\:\:{has}\:{the}\:{digit}\:{c}\:\:{n}\:{times} \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 26631 by jkssm1857@gmail.com last updated on 27/Dec/17 $$\int_{\mathrm{0}} ^{\infty} \frac{\mathrm{1}}{\mathrm{x}^{\mathrm{2}} }\mathrm{dx} \\ $$$$ \\ $$ Commented by abdo imad last updated on 27/Dec/17…
Question Number 26626 by ajfour last updated on 27/Dec/17 Answered by mrW1 last updated on 28/Dec/17 $${let}'{s}\:{take}\:{point}\:{V}\:{as}\:{origin}\:{and}\:{VC} \\ $$$${as}\:{x}−{axis},\:{then} \\ $$$${C}\left({r},\:\mathrm{0}\right) \\ $$$${P}\left({r},{r}\right) \\ $$$${Eqn}.\:{of}\:{red}\:{parabola}\:{is}\:…