Question Number 90171 by M±th+et£s last updated on 21/Apr/20 $${find}\:\int_{\mathrm{0}} ^{\mathrm{2}} \left(\lfloor{x}^{\mathrm{2}} \rfloor+\lfloor{x}\rfloor^{\mathrm{2}} \right){dx} \\ $$ Answered by TANMAY PANACEA. last updated on 21/Apr/20 $${is}\:{it}\:{floor}\:{function}\:\left({greatest}\:{integer}\:{function}\mathrm{3}\right.…
Question Number 90158 by I want to learn more last updated on 21/Apr/20 Commented by I want to learn more last updated on 21/Apr/20 $$\mathrm{The}\:\mathrm{question}\:\mathrm{is}\:\mathrm{prove}\:\mathrm{that}…
Question Number 155686 by john_santu last updated on 03/Oct/21 $$\:\:\int_{\mathrm{0}} ^{\pi/\mathrm{2}} \frac{{dx}}{\mathrm{1}+\mathrm{tan}\:{x}}\:=? \\ $$ Answered by peter frank last updated on 03/Oct/21 $$\int_{\mathrm{0}} ^{\frac{\pi}{\mathrm{2}}} \frac{\mathrm{cos}\:\mathrm{x}}{\mathrm{cos}\:\mathrm{x}+\mathrm{sin}\:\mathrm{x}}\mathrm{dx}…
Question Number 155674 by talminator2856791 last updated on 03/Oct/21 $$\: \\ $$$$\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\underline{\mathrm{monster}\:\mathrm{integral}} \\ $$$$\: \\ $$$$\:\:\:\:\int_{\mathrm{0}} ^{\:\frac{\pi}{\mathrm{4}}} \:\mathrm{ln}^{\mathrm{2}} \left(\mathrm{sin}\left(\mathrm{2}{x}\right)+\:\mathrm{cos}\left(\mathrm{3}{x}\right)\right)\:{dx} \\ $$$$\: \\ $$$$\: \\ $$…
Question Number 90135 by Ar Brandon last updated on 21/Apr/20 $$\mathrm{I}_{\mathrm{n}} =\int_{\mathrm{t}=\mathrm{0}} ^{+\infty} \frac{\mathrm{dt}}{\left(\mathrm{t}+\mathrm{1}\right)\left(\mathrm{t}+\mathrm{2}\right)…\left(\mathrm{t}+\mathrm{n}\right)} \\ $$ Answered by TANMAY PANACEA. last updated on 21/Apr/20 $${I}=\int\frac{{dt}}{\left({t}+\mathrm{1}\right)\left({t}+\mathrm{2}\right)\left({t}+\mathrm{3}\right)..\left({t}+{n}\right)}…
Question Number 90113 by M±th+et£s last updated on 21/Apr/20 $$\int_{\mathrm{0}} ^{\infty} {e}^{−{x}} \left(\frac{\mathrm{1}}{\mathrm{1}−{e}^{−{x}} }−\frac{\mathrm{1}}{{x}}\right){dx} \\ $$ Answered by maths mind last updated on 21/Apr/20 $$\Psi\left({z}\right)=\int_{\mathrm{0}}…
Question Number 90110 by jagoll last updated on 21/Apr/20 $$\underset{\frac{\mathrm{2}}{\mathrm{3}}\mathrm{u}} {\overset{\mathrm{2u}} {\int}}\:\frac{\mathrm{e}^{−\frac{\mathrm{x}}{\mathrm{2}}} }{\mathrm{2}\pi\:\sqrt{\left(\mathrm{u}−\frac{\mathrm{1}}{\mathrm{2}}\mathrm{x}\right)\left(\frac{\mathrm{3x}}{\mathrm{2}}−\mathrm{u}\right)}}\:\mathrm{du}\: \\ $$$$\left(\mathrm{u}\:>\:\mathrm{0}\:\right) \\ $$ Commented by MJS last updated on 21/Apr/20 $$\mathrm{dependent}\:\mathrm{borders}\:\mathrm{are}\:\mathrm{not}\:\mathrm{allowed}…
Question Number 90055 by awlia last updated on 21/Apr/20 Commented by jagoll last updated on 21/Apr/20 $$\mathrm{vol}\:=\:\pi\:\underset{\mathrm{0}} {\overset{\mathrm{4}} {\int}}\:\left(\mathrm{4x}−\mathrm{x}^{\mathrm{2}} \right)^{\mathrm{2}} \:\mathrm{dx}\: \\ $$$$=\:\pi\:\left\{\:−\frac{\mathrm{x}^{\mathrm{2}} \left(\mathrm{4}−\mathrm{x}\right)^{\mathrm{3}} }{\mathrm{3}}−\frac{\mathrm{x}\left(\mathrm{4}−\mathrm{x}\right)^{\mathrm{4}}…
Question Number 90049 by awlia last updated on 21/Apr/20 Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 90044 by abdomathmax last updated on 21/Apr/20 $${calculste}\:\int_{\mathrm{0}} ^{\mathrm{1}} \:{sin}\left(\left[\mathrm{2}{x}\right]\:−\left[\frac{\mathrm{1}}{{x}}\right]\right){dx} \\ $$ Commented by mathmax by abdo last updated on 24/Apr/20 $${I}\:=\int_{\mathrm{0}} ^{\mathrm{1}}…