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 $${let}'{s}\:{take}\:{point}\:{V}\:{as}\:{origin}\:{and}\:{VC} \\ $$$${as}\:{x}−{axis},\:{then} \\ $$$${C}\left({r},\:\mathrm{0}\right) \\ $$$${P}\left({r},{r}\right) \\ $$$${Eqn}.\:{of}\:{red}\:{parabola}\:{is}\:…
Question Number 92156 by abdomathmax last updated on 05/May/20 $${find}\:\int_{\mathrm{0}} ^{\mathrm{1}} \:\:{xe}^{−{x}^{\mathrm{2}} } {ln}\left(\mathrm{1}+{x}\right){dx} \\ $$ Commented by mathmax by abdo last updated on 08/May/20…
Question Number 92134 by mathmax by abdo last updated on 05/May/20 $${find}\:\int_{−\mathrm{1}} ^{\mathrm{1}} \:\frac{{e}^{{x}} }{\:\sqrt{\mathrm{1}−{x}^{\mathrm{2}} }}{dx}\: \\ $$ Commented by mathmax by abdo last updated…
Question Number 92133 by mathmax by abdo last updated on 05/May/20 $$\left.\mathrm{1}\right)\:{decompose}\:{F}\left({x}\right)\:=\frac{\mathrm{1}}{{x}^{\mathrm{5}} −\mathrm{1}} \\ $$$$\left.\mathrm{2}\right)\:{calculate}\:\int_{\mathrm{2}} ^{+\infty} \:\frac{{dx}}{{x}^{\mathrm{5}} −\mathrm{1}} \\ $$ Terms of Service Privacy Policy…
Question Number 92126 by john santu last updated on 05/May/20 $$\int\:\sqrt{\frac{{x}^{\mathrm{2}} +\mathrm{2}{x}−\mathrm{1}}{{x}+\mathrm{1}}}\:{dx}\: \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 92120 by M±th+et+s last updated on 04/May/20 $$\int_{−\mathrm{3}} ^{\mathrm{4}} \lfloor{x}.\lceil{x}^{\mathrm{2}} \rceil\rfloor\:{dx} \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 26584 by gunawan last updated on 27/Dec/17 $$\int_{{a}} ^{{x}} \left({x}−{t}\right)^{\mathrm{5}} {y}\left({t}\right){dt}=\mathrm{4}{x}^{\mathrm{6}} \\ $$$${y}\left({x}\right)=… \\ $$ Commented by prakash jain last updated on 27/Dec/17…
Question Number 92119 by M±th+et+s last updated on 04/May/20 $${show}\:{that}\: \\ $$$$\int_{\mathrm{1}} ^{\infty} \frac{\mathrm{1}}{\lfloor{x}\rfloor^{\mathrm{2}} }{dx}=\int_{\mathrm{0}} ^{\mathrm{1}} \int_{\mathrm{0}} ^{\mathrm{1}} \frac{{dx}\:{dy}}{\mathrm{1}−{xy}} \\ $$ Commented by mathmax by…