Question Number 81427 by abdomathmax last updated on 13/Feb/20 $$\left.\mathrm{1}\right)\:{calculate}\:\int_{\mathrm{0}} ^{\infty} \:{cos}\left({x}^{\mathrm{3}} \right){dx} \\ $$$$\left.\mathrm{2}\right){find}\:{the}\:{value}\:\:{of}\:\:\int_{\mathrm{0}} ^{\infty} \:{cos}\left({x}^{{n}} \right){dx}\:{with}\:{n}\geqslant\mathrm{2} \\ $$ Commented by mind is power…
Question Number 146962 by Sameza last updated on 16/Jul/21 Answered by Olaf_Thorendsen last updated on 16/Jul/21 $$ \\ $$$$\mathrm{I}\:=\:\int_{\mathrm{0}} ^{\mathrm{4}} \frac{\sqrt{{x}}}{\:\sqrt{\mathrm{4}−{x}}−\sqrt{{x}}}\:{dx}\:\:\:\left(\mathrm{1}\right) \\ $$$$\mathrm{Let}\:{u}\:=\:\mathrm{4}−{x} \\ $$$$\mathrm{I}\:=\:\int_{\mathrm{0}}…
Question Number 81400 by mind is power last updated on 12/Feb/20 $${Hello}\:\:{Nice}\:{day}\:{im}\:{thinking}\:{of}\:{this}\:{one}\:\:{a}\:{close}\:{forme}? \\ $$$$\int\sqrt{\mathrm{1}+{x}^{{p}} }{dx} \\ $$$${p}\in\mathbb{R}_{+} , \\ $$$${x}\in\left[\mathrm{0},\mathrm{1}\left[\right.\right. \\ $$ Commented by abdomathmax…
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…