Question Number 5168 by Yozzii last updated on 24/Apr/16 $${Find}\:{the}\:{value}\:{of}\:\mathrm{2023}!\:\left({mod}\:\mathrm{2027}\right). \\ $$ Commented by prakash jain last updated on 27/Apr/16 $$\mathrm{If}\:\mathrm{you}\:\mathrm{find}\:\mathrm{an}\:\mathrm{answer},\:\mathrm{please}\:\mathrm{do}\:\mathrm{post}\:\mathrm{it}.\:\mathrm{I} \\ $$$$\mathrm{have}\:\mathrm{not}\:\mathrm{yet}\:\mathrm{been}\:\mathrm{able}\:\mathrm{to}\:\mathrm{solve}\:\mathrm{it}. \\ $$…
Question Number 5166 by 1771727373 last updated on 24/Apr/16 $$\int\sqrt{{a}^{\mathrm{2}} −{x}^{\mathrm{2}} }{dx}\:=\:? \\ $$ Answered by 123456 last updated on 24/Apr/16 $${x}={a}\:\mathrm{sin}\theta \\ $$$${dx}={a}\:\mathrm{cos}\theta{d}\theta \\…
Question Number 5165 by 1771727373 last updated on 24/Apr/16 $${what}\:{is} \\ $$$$\sqrt{{i}+\mathrm{1}}\:\:\:\:? \\ $$ Commented by FilupSmith last updated on 24/Apr/16 $$\mathrm{assuming}\:{i}^{\mathrm{2}} =−\mathrm{1}, \\ $$$$\mathrm{according}\:\mathrm{to}\:\mathrm{WolframAlpha}:…
Question Number 70696 by Erik_Regiomontan last updated on 07/Oct/19 $$\int{x}^{{x}} {dx}=? \\ $$ Commented by sadimuhmud 136 last updated on 07/Oct/19 $$\mathrm{error}\:\mathrm{question}.. \\ $$$$ \\…
Question Number 70694 by oyemi kemewari last updated on 07/Oct/19 Answered by mind is power last updated on 07/Oct/19 $${let}\:\frac{{y}'}{{x}}={u} \\ $$$$\Rightarrow{y}'={xu}\Rightarrow{y}''={u}+{xu}' \\ $$$${xy}''={xu}+{x}^{\mathrm{2}} {u}'…
Question Number 5159 by 1771727373 last updated on 24/Apr/16 $${a}+\mathrm{24}\frac{{a}−\mathrm{3}}{{b}^{\mathrm{2}} +{a}}=\mathrm{2}{a}−{b}^{\mathrm{2}\:} \\ $$$${a}×{b}^{\mathrm{2}} =\mathrm{20} \\ $$$$ \\ $$$${would}\:{you}\:{solve}\:{this}? \\ $$ Answered by FilupSmith last updated…
Question Number 5158 by 1771727373 last updated on 24/Apr/16 $${why} \\ $$$$\mathrm{1}\:+\:\frac{\mathrm{1}}{\mathrm{2}}\:+\:\frac{\mathrm{1}}{\mathrm{4}}\:+\:\frac{\mathrm{1}}{\mathrm{8}}\:+\:………..\:=\:\mathrm{2} \\ $$$$ \\ $$ Answered by FilupSmith last updated on 24/Apr/16 $$\mathrm{1}+\frac{\mathrm{1}}{\mathrm{2}}+\frac{\mathrm{1}}{\mathrm{4}}+…={S} \\…
Question Number 5157 by 1771727373 last updated on 24/Apr/16 $$\mathrm{1}+\mathrm{2}+\mathrm{3}+\mathrm{4}+……..={S} \\ $$$$\mathrm{2}+\mathrm{4}+\mathrm{6}+\mathrm{8}+\mathrm{10}+……..=\mathrm{2}{S} \\ $$$${S}\supset\mathrm{2}{S} \\ $$$$\mathrm{1}+\mathrm{3}+\mathrm{5}+\mathrm{7}+…………+\left(\mathrm{2}{S}\right)={S} \\ $$$$\underset{{x}\rightarrow+\infty} {\mathrm{lim}}\left\{\frac{{n}\left({n}−\mathrm{1}\right)}{\mathrm{2}}\right\}=+\infty \\ $$$$\underset{{x}\rightarrow+\infty} {\mathrm{lim}}\left\{{n}^{\mathrm{2}} \right\}=+\infty \\ $$$$\left(+\infty\right)+\left(+\infty\right)={S}=\infty…
Question Number 136225 by mnjuly1970 last updated on 19/Mar/21 $$\:\: \\ $$$$\:\:\:\:\:\:\:\:\:\:\:\:\:\:…..{nice}\:\:\:{calculus}\:\: \\ $$$$\:\:\:\: \\ $$$$\:\:\:\:\:{find}\:::\:\Omega=\int_{\mathrm{0}} ^{\:\infty} {xe}^{−{x}} {coth}\left(\frac{{x}}{\mathrm{2}}\right){dx}=? \\ $$$$ \\ $$$$ \\ $$$$…
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