Question Number 189756 by TUN last updated on 21/Mar/23 Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 189752 by TUN last updated on 21/Mar/23 $$\underset{\mathrm{0}} {\int}^{\infty} {x}^{\mathrm{2}} .{e}^{−{x}^{\mathrm{2}} } {dx}=¿ \\ $$ Answered by MJS_new last updated on 21/Mar/23 $$\int{x}^{\mathrm{2}}…
Question Number 124217 by bramlexs22 last updated on 01/Dec/20 $$\underset{\mathrm{0}} {\overset{\infty} {\int}}\:\frac{{dx}}{{x}\:\sqrt{\mathrm{1}+{x}^{\mathrm{2}} }}\:? \\ $$ Answered by Dwaipayan Shikari last updated on 01/Dec/20 $$\sqrt{\mathrm{1}+{x}^{\mathrm{2}} }\:={t}\Rightarrow\frac{{x}}{\:\sqrt{\mathrm{1}+{x}^{\mathrm{2}}…
Question Number 124202 by mnjuly1970 last updated on 01/Dec/20 $$\:\:\:\:\:\:\:\:\:\::::\:\:{nice}\:\:{calculus}\:::: \\ $$$$\:\:\:\:\:{prove}\:\:{that}\:::: \\ $$$$ \\ $$$$\underset{{m},{n}=\mathrm{1}} {\overset{\infty} {\sum}}\left\{\frac{\left(−\mathrm{1}\right)^{{n}+{m}} }{{n}^{\mathrm{2}} +{m}^{\mathrm{2}} }\right\}\:\overset{???} {=}\frac{\pi^{\mathrm{2}} }{\mathrm{12}}\:−\frac{\pi}{\mathrm{4}}{ln}\left(\mathrm{2}\right) \\ $$…
Question Number 124201 by mnjuly1970 last updated on 01/Dec/20 $$\:\:\:\:\:\:\:\:\:\:\:\:\:\::::\:\:{nice}\:\:{calculus}\:::: \\ $$$$\:\:\:\:\:{please}\:\:{prove}\:::: \\ $$$$\:\:\:\:\Omega\:=\:\int_{\mathrm{0}} ^{\:\infty} \frac{{x}^{\frac{\mathrm{1}}{\mathrm{2}}} }{{x}^{\mathrm{2}} +\mathrm{2}{x}+\mathrm{5}}{dx}=\frac{\pi}{\:\sqrt{\varphi}} \\ $$$$\:\:\:\:\:{where}\:\:\varphi\:\:{is}\:{Golden}\:{ratio}… \\ $$ Answered by ajfour…
Question Number 58648 by rahul 19 last updated on 27/Apr/19 Commented by rahul 19 last updated on 27/Apr/19 $${Ans}:\:{b},{d}. \\ $$$${i}'{m}\:{getting}\:{that}\:{it}\:{cannot}\:{exceed}\:\mathrm{2}. \\ $$ Commented by…
Question Number 58639 by rahul 19 last updated on 26/Apr/19 Answered by tanmay last updated on 27/Apr/19 $${F}\left({x}\right)=\int_{\mathrm{0}} ^{{x}} {tf}\left({t}\right){dt} \\ $$$$\frac{{dF}}{{dx}}=\int_{\mathrm{0}} ^{{x}} \frac{\partial}{\partial{x}\:}\left({tf}\left({t}\right){dt}\:+{xf}\left({x}\right)\frac{{dx}}{{dx}}−\mathrm{0}×{f}\left(\mathrm{0}\right)×\frac{{d}\mathrm{0}}{{dx}}\right. \\…
Question Number 58627 by rahul 19 last updated on 26/Apr/19 Commented by rahul 19 last updated on 26/Apr/19 $${Ans}:\:{a},{b},{c} \\ $$ Commented by tanmay last…
Question Number 58626 by rahul 19 last updated on 26/Apr/19 Commented by rahul 19 last updated on 26/Apr/19 $${Ans}:\:{a},{c},{d} \\ $$ Answered by tanmay last…
Question Number 124134 by bramlexs22 last updated on 01/Dec/20 $$\:\varphi\left({x}\right)=\:\int\:\left(\frac{{x}^{\mathrm{3}} +\mathrm{2}}{{x}^{\mathrm{3}} }\right)\:\sqrt{{x}−\frac{\mathrm{1}}{{x}^{\mathrm{2}} }}\:{dx}\: \\ $$ Answered by Dwaipayan Shikari last updated on 01/Dec/20 $$\int\left(\mathrm{1}+\frac{\mathrm{2}}{{x}^{\mathrm{3}} }\right)\left(\sqrt{{x}−\frac{\mathrm{1}}{{x}^{\mathrm{2}}…