Question Number 84561 by M±th+et£s last updated on 14/Mar/20 $$\int_{\mathrm{0}} ^{\infty} \int_{\mathrm{0}} ^{\infty} \frac{{cos}\left({x}−{y}\right)−{cos}\left({x}\right)}{{xy}}{dx}\:{dy} \\ $$ Answered by mind is power last updated on 16/Mar/20…
Question Number 84558 by Kunal12588 last updated on 14/Mar/20 $${happy}\:\pi\:{day} \\ $$ Commented by john santu last updated on 14/Mar/20 $$\pi\:−\:\mathrm{day}\:\mathrm{happy} \\ $$ Terms of…
Question Number 150095 by mathdanisur last updated on 09/Aug/21 $$\Omega\:=\int\:\frac{\mathrm{x}\:\mathrm{dx}}{\mathrm{x}^{\mathrm{8}} \:-\:\mathrm{1}}\:=\:? \\ $$ Answered by Ar Brandon last updated on 09/Aug/21 $$\Omega=\int\frac{{xdx}}{{x}^{\mathrm{8}} −\mathrm{1}}=\frac{\mathrm{1}}{\mathrm{2}}\int\frac{{d}\left({x}^{\mathrm{2}} \right)}{\left({x}^{\mathrm{2}} \right)^{\mathrm{4}}…
Question Number 84556 by jagoll last updated on 14/Mar/20 $$\int\:\mathrm{sin}^{−\mathrm{1}} \left(\frac{\mathrm{2x}+\mathrm{2}}{\:\sqrt{\mathrm{4x}^{\mathrm{2}} +\mathrm{8x}+\mathrm{13}}}\right)\:\mathrm{dx} \\ $$ Commented by john santu last updated on 14/Mar/20 $$\int\:\mathrm{sin}^{−\mathrm{1}} \left(\frac{\mathrm{2x}+\mathrm{2}}{\:\sqrt{\left(\mathrm{2x}+\mathrm{2}\right)^{\mathrm{2}} +\mathrm{9}}}\right)\:\mathrm{dx}…
Question Number 19021 by ajfour last updated on 03/Aug/17 Commented by ajfour last updated on 03/Aug/17 $$\mathrm{If}\:\:\:\:\:\:\phi=\mathrm{tan}^{−\mathrm{1}} \left[\left(\sqrt{\mathrm{2}}−\mathrm{1}\right)\mathrm{cot}\:\theta\right]+\theta \\ $$$$\Rightarrow\:\mathrm{tan}\:\left(\phi−\theta\right)=\left(\sqrt{\mathrm{2}}−\mathrm{1}\right)\mathrm{cot}\:\theta \\ $$$$\:\:\:\frac{\mathrm{tan}\:\phi−\mathrm{tan}\:\theta}{\mathrm{1}+\mathrm{tan}\:\phi\mathrm{tan}\:\theta}=\frac{\mathrm{cot}\:\theta}{\:\sqrt{\mathrm{2}}+\mathrm{1}} \\ $$$$\Rightarrow\:\left(\sqrt{\mathrm{2}}+\mathrm{1}\right)\:\left(\mathrm{tan}\:\phi−\mathrm{tan}\:\theta\right) \\…
Question Number 84557 by Power last updated on 14/Mar/20 Commented by jagoll last updated on 14/Mar/20 $$\mathrm{ln}\left(\mathrm{cos}\:\mathrm{x}\right)\:=\:\mathrm{u}\:\Rightarrow\:\mathrm{cos}\:\mathrm{x}\:=\:\mathrm{e}^{\mathrm{u}} \\ $$$$−\mathrm{sin}\:\mathrm{x}\:\mathrm{dx}\:=\:\mathrm{e}^{\mathrm{u}} \:\mathrm{du}\: \\ $$$$\mathrm{dx}\:=\:\frac{−\mathrm{e}^{\mathrm{u}} }{\mathrm{sin}\:\mathrm{x}}\:\mathrm{dx}\:=\:\frac{−\mathrm{e}^{\mathrm{u}} \:\mathrm{du}}{\:\sqrt{\mathrm{1}−\mathrm{e}^{\mathrm{2u}} }}…
Question Number 84553 by naka3546 last updated on 14/Mar/20 $${Find}\:\:{mininum}\:\:{value}\:\:{of}\:\:{n}\:\:{such}\:\:{that} \\ $$$${both}\:\:{n}\:+\:\mathrm{3}\:\:\:{and}\:\:\mathrm{2020}{n}\:+\:\mathrm{1}\:\:{are}\:\:{square}\:\:{numbers}\:. \\ $$ Commented by mr W last updated on 14/Mar/20 $${i}\:{got}\:{n}_{{min}} =\mathrm{2022} \\…
Question Number 84549 by Power last updated on 14/Mar/20 Answered by TANMAY PANACEA last updated on 14/Mar/20 $$\int_{\mathrm{0}} ^{{n}\pi} \mid{sinnx}\mid{dx} \\ $$$$\int_{\mathrm{0}} ^{\pi} \mid{sinx}\mid{dx}+\int_{\pi} ^{\mathrm{2}\pi}…
Question Number 84544 by M±th+et£s last updated on 14/Mar/20 $${solve}\: \\ $$$${xy}^{''} ={y}^{'} \left({e}^{{y}} −\mathrm{1}\right) \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 19009 by chux last updated on 03/Aug/17 $$\mathrm{The}\:\mathrm{sum}\:\mathrm{of}\:\mathrm{four}\:\mathrm{consecutive} \\ $$$$\mathrm{2}−\mathrm{digit}\:\mathrm{numbers}\:\mathrm{when}\:\mathrm{divided}\:\mathrm{by} \\ $$$$\mathrm{10}\:\mathrm{becomes}\:\mathrm{a}\:\mathrm{perfect}\:\mathrm{square}.\mathrm{Which} \\ $$$$\mathrm{of}\:\mathrm{the}\:\mathrm{following}\:\mathrm{can}\:\mathrm{possibly}\:\mathrm{be} \\ $$$$\mathrm{one}\:\mathrm{of}\:\mathrm{these}\:\mathrm{four}\:\mathrm{numbers}? \\ $$$$\left(\mathrm{a}\right)\mathrm{21}\left(\mathrm{b}\right)\mathrm{25}\left(\mathrm{c}\right)\mathrm{41}\left(\mathrm{d}\right)\mathrm{67}\left(\mathrm{e}\right)\mathrm{73} \\ $$$$ \\ $$$$ \\…