Question Number 146933 by mnjuly1970 last updated on 16/Jul/21 $$ \\ $$$$\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:…..#\:{advanced}\:\:{calculu}#…… \\ $$$$\: \\ $$$$\:\:\:\:\:\:\:\:\:\:\:\:\:\mathrm{I}\::=\:\int_{−\infty} ^{\:+\infty} {sin}\left({cosh}\left({x}\right).{cos}\left({sinhx}\right)\right){dx}=? \\ $$$$\:\:\:\:\:….{solution}\:…. \\ $$$$\:\:\:\:\:\:\:\mathrm{I}:=\frac{\mathrm{1}}{\mathrm{2}}\:\int_{−\infty} ^{\:+\infty} \left\{{sin}\:\left({cosh}\left({x}\right)+{sinh}\left({x}\right)\right)+{sin}\left({cosh}\left({x}\right)−{sinh}\:\left({x}\right)\right)\right\} \\…
Question Number 81340 by mind is power last updated on 11/Feb/20 $${Quation}\:\:{posted}\:{Times}\:{ago} \\ $$$${i}\:{can}'{t}\:{find}\:{it}\:.{after}\:{Somme}\:{Try}\:{i}\:{got}\:{close}\:{Fofme} \\ $$$$\int_{\mathrm{0}} ^{\pi} {sin}\left({x}^{\mathrm{2}} \right){dx}=\frac{\pi^{\mathrm{3}} }{\mathrm{3}}\:\:_{\mathrm{1}} {F}_{\mathrm{2}} \left(\frac{\mathrm{3}}{\mathrm{4}};\frac{\mathrm{3}}{\mathrm{2}};\frac{\mathrm{7}}{\mathrm{4}},−\frac{\pi^{\mathrm{4}} }{\mathrm{4}}\right)? \\ $$$${sin}\left({x}\right)=\underset{{k}\geqslant\mathrm{0}}…
Question Number 15803 by arnabpapu550@gmail.com last updated on 14/Jun/17 $$\int\frac{\mathrm{dx}}{\left(\mathrm{1}+\mathrm{x}\right)\sqrt{\left(\mathrm{1}+\mathrm{x}−\mathrm{x}^{\mathrm{2}} \right)}\:} \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 81336 by mathmax by abdo last updated on 11/Feb/20 $${decompose}\:{F}\left({x}\right)=\frac{\mathrm{1}}{\left({x}−\mathrm{1}\right)^{\mathrm{3}} \left({x}+\mathrm{3}\right)^{\mathrm{7}} } \\ $$$${and}\:{detrmine}\:\:\int\:{F}\left({x}\right){dx} \\ $$$$\left.\mathrm{2}\right)\:{calculate}\:\int_{\mathrm{2}} ^{+\infty} \:{F}\left({x}\right){dx} \\ $$ Commented by Tony…
Question Number 81313 by M±th+et£s last updated on 11/Feb/20 $$\int\frac{\left(\mathrm{x}−\mathrm{2}\right)^{\mathrm{3}} }{\left(\mathrm{x}+\mathrm{2}\right)^{\mathrm{5}} }\:\mathrm{dx} \\ $$ Commented by M±th+et£s last updated on 11/Feb/20 $$\mathrm{sorry}\:\mathrm{there}\:\mathrm{is}\:\mathrm{a}\:\mathrm{typo}\:\mathrm{its}\:\left(\mathrm{x}−\mathrm{2}\right)^{−\mathrm{3}} \:\: \\ $$…
Question Number 146836 by mnjuly1970 last updated on 16/Jul/21 $$ \\ $$$$\:\:\:\:\:\:\:\:\:\:\:\:\underset{{n}=\mathrm{1}} {\overset{\infty} {\sum}}\frac{\mathrm{1}}{\varphi^{\:{n}} \:\mathrm{F}_{{n}} }\:=? \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 146835 by mathmax by abdo last updated on 16/Jul/21 $$\mathrm{calculate}\:\int_{\mathrm{0}} ^{\infty} \:\:\frac{\mathrm{dx}}{\left(\mathrm{x}^{\mathrm{2}} \:+\mathrm{3}\right)^{\mathrm{2}} \left(\mathrm{x}^{\mathrm{2}} \:+\mathrm{4}\right)^{\mathrm{2}} } \\ $$ Answered by mathmax by abdo…
Question Number 81290 by mind is power last updated on 11/Feb/20 $$\int_{−\mathrm{1}} ^{\mathrm{1}} {arctan}\left({x}\right){arctan}\left(\frac{{x}}{\:\sqrt{\mathrm{1}−{x}^{\mathrm{2}} }}\right){arctan}\left(\frac{\mathrm{1}+{x}}{\mathrm{1}−{x}}\right){dx} \\ $$ Commented by msup trace by abdo last updated…
Question Number 81279 by jagoll last updated on 11/Feb/20 $$\int\:\frac{\sqrt{\mathrm{2}{x}+\mathrm{1}}}{\mathrm{3}{x}}\:{dx}\:=\:? \\ $$ Commented by john santu last updated on 11/Feb/20 $${let}\:{u}^{\mathrm{2}} \:=\:\mathrm{2}{x}+\mathrm{1}\:\Rightarrow{x}\:=\:\frac{{u}^{\mathrm{2}} −\mathrm{1}}{\mathrm{2}} \\ $$$$\Rightarrow\frac{\mathrm{2}}{\mathrm{3}}\int\:\:\frac{{u}.\:{udu}}{{u}^{\mathrm{2}}…
Question Number 146790 by puissant last updated on 15/Jul/21 $$\int\frac{\mathrm{1}}{\mathrm{x}}\:\mathrm{e}^{−\frac{\mathrm{1}}{\mathrm{x}^{\mathrm{2}} }} \mathrm{dx} \\ $$ Answered by Cyriille last updated on 15/Jul/21 $$\boldsymbol{\mathrm{I}}=\int\frac{\mathrm{1}}{{x}}{e}^{-\frac{\mathrm{1}}{{x}^{\mathrm{2}} }} {dx} \\…