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Question Number 160969 by mkam last updated on 10/Dec/21 $$\int_{−\mathrm{2}} ^{\:\mathrm{2}} {x}^{\mathrm{3}} {cos}\left(\frac{{x}}{\mathrm{2}}\right)\:\sqrt{\mathrm{4}−{x}^{\mathrm{2}} }\:{dx} \\ $$ Answered by MJS_new last updated on 10/Dec/21 $${g}\left({x}\right)={f}_{\mathrm{1}} \left({x}\right)×{f}_{\mathrm{2}}…
Question Number 160970 by mkam last updated on 10/Dec/21 $${there}\:{are}\:{even}\:{number}\:{divided}\:{all}\:{odd} \\ $$$${number}\:{what}\:{is}\:{the}\:{number}\:? \\ $$ Answered by MJS_new last updated on 10/Dec/21 $$\mathrm{the}\:\mathrm{only}\:\mathrm{even}\:\mathrm{number}\:\mathrm{which}\:\mathrm{can}\:\mathrm{be}\:\mathrm{divided} \\ $$$$\mathrm{by}\:{all}\:\mathrm{odd}\:\mathrm{numbers}\:\mathrm{is}\:\mathrm{0} \\…
Question Number 29887 by naka3546 last updated on 13/Feb/18 Commented by 803jaideep@gmail.com last updated on 13/Feb/18 $$\mathrm{1234}? \\ $$ Commented by naka3546 last updated on…
Question Number 160953 by SANOGO last updated on 09/Dec/21 $$\int_{{o}} ^{+{oo}} \:\frac{{tlnt}}{\left(\mathrm{1}+{t}\right)^{\mathrm{2}} }\:\:\:\: \\ $$$${etudier}\:{la}\:{convergence} \\ $$ Answered by ArielVyny last updated on 10/Dec/21 $$\left.{f}\left({t}\right)=\frac{{tln}\left({t}\right)}{\left(\mathrm{1}+{t}\right)^{\mathrm{2}}…
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Question Number 160948 by Rustambek last updated on 09/Dec/21 $$\frac{\mathrm{1}}{\mathrm{1}\centerdot\mathrm{2}}+\frac{\mathrm{1}}{\mathrm{3}\centerdot\mathrm{4}}+\frac{\mathrm{1}}{\mathrm{5}\centerdot\mathrm{6}}+…+\frac{\mathrm{1}}{\mathrm{39}\centerdot\mathrm{40}}=? \\ $$ Answered by puissant last updated on 09/Dec/21 $$\Omega=\underset{{k}=\mathrm{1}} {\overset{\mathrm{39}} {\sum}}\frac{\mathrm{1}}{{k}\left({k}+\mathrm{1}\right)}\:=\:\underset{{k}=\mathrm{1}} {\overset{\mathrm{39}} {\sum}}\left\{\frac{\mathrm{1}}{{k}}−\frac{\mathrm{1}}{{k}+\mathrm{1}}\right\} \\…
Question Number 160939 by mathlove last updated on 09/Dec/21 $${log}\underset{{ab}} {{x}}=?\:\:\:\:\:\:{if}\:\:{log}\underset{{a}} {{x}}=\mathrm{30}\:\:{andlog}\underset{{b}} {{x}}=\mathrm{70} \\ $$ Commented by blackmamba last updated on 09/Dec/21 $$\:\begin{cases}{{a}={x}^{\frac{\mathrm{1}}{\mathrm{30}}} }\\{{b}={x}^{\frac{\mathrm{1}}{\mathrm{70}}} }\end{cases}\:\Rightarrow\:\mathrm{log}\:_{{ab}}…
Question Number 160909 by naka3546 last updated on 09/Dec/21 $${How}\:\:{many}\:\:\mathrm{3}−{digits}\:\:{number}\:\:{such}\:\:{that}\:\:{sum}\:\:{of}\:\:{its}\:\:{digits}\:\:{is}\:\:\mathrm{11}\:? \\ $$ Answered by mr W last updated on 09/Dec/21 $$\boldsymbol{{METHOD}}\:\mathrm{1} \\ $$$$\left({x}+{x}^{\mathrm{2}} +{x}^{\mathrm{3}} +…{x}^{\mathrm{9}}…