Question Number 87025 by john santu last updated on 02/Apr/20 $$\underset{\mathrm{0}} {\overset{\frac{\pi}{\mathrm{2}}} {\int}}\:\frac{\mathrm{arc}\:\mathrm{tan}\:\left(\sqrt{\mathrm{2}}\:\mathrm{tan}\:\mathrm{x}\right)}{\mathrm{tan}\:\mathrm{x}}\:\mathrm{dx}?\: \\ $$ Commented by mathmax by abdo last updated on 02/Apr/20 $${let}\:{f}\left({a}\right)\:=\int_{\mathrm{0}}…
Question Number 87023 by john santu last updated on 02/Apr/20 $$\int\:\:\frac{\mathrm{dx}}{\:\sqrt{\mathrm{x}^{\mathrm{2}} −\mathrm{8x}+\mathrm{15}}}\:?\: \\ $$ Commented by john santu last updated on 02/Apr/20 $$\int\:\:\frac{{dx}}{\:\sqrt{\left({x}−\mathrm{4}\right)^{\mathrm{2}} −\mathrm{1}}}\:=\:{I} \\…
Question Number 21486 by Tinkutara last updated on 24/Sep/17 $$\mathrm{Vapour}\:\mathrm{pressure}\:\mathrm{in}\:\mathrm{a}\:\mathrm{closed}\:\mathrm{container} \\ $$$$\mathrm{can}\:\mathrm{be}\:\mathrm{changed}\:\mathrm{by} \\ $$$$\left(\mathrm{1}\right)\:\mathrm{Adding}\:\mathrm{water}\:\mathrm{vapours}\:\mathrm{from}\:\mathrm{outside} \\ $$$$\mathrm{at}\:\mathrm{same}\:\mathrm{temperature} \\ $$$$\left(\mathrm{2}\right)\:\mathrm{Adding}\:\mathrm{ice}\:\mathrm{at}\:\mathrm{same}\:\mathrm{temperature} \\ $$$$\left(\mathrm{3}\right)\:\mathrm{Adding}\:\mathrm{water}\:\mathrm{at}\:\mathrm{same}\:\mathrm{temperature} \\ $$$$\left(\mathrm{4}\right)\:\mathrm{Increasing}\:\mathrm{temperature} \\ $$ Terms…
Question Number 87021 by Ar Brandon last updated on 02/Apr/20 $$\int\frac{{ln}\left(\mathrm{1}+{asin}\left({x}^{\mathrm{2}} \right)\right.}{{sin}\left({x}^{\mathrm{2}} \right)}{dx} \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 21484 by Tinkutara last updated on 24/Sep/17 $$\mathrm{Positive}\:\mathrm{deviation}\:\mathrm{from}\:\mathrm{ideal}\:\mathrm{behaviour} \\ $$$$\mathrm{takes}\:\mathrm{place}\:\mathrm{because}\:\mathrm{of} \\ $$$$\left({a}\right)\:\mathrm{molecular}\:\mathrm{interaction}\:\mathrm{between} \\ $$$$\mathrm{atoms}\:\mathrm{and}\:\mathrm{PV}/{n}\mathrm{RT}\:>\:\mathrm{1} \\ $$$$\left({b}\right)\:\mathrm{molecular}\:\mathrm{interaction}\:\mathrm{between} \\ $$$$\mathrm{atoms}\:\mathrm{and}\:\mathrm{PV}/{n}\mathrm{RT}\:<\:\mathrm{1} \\ $$$$\left({c}\right)\:\mathrm{finite}\:\mathrm{size}\:\mathrm{of}\:\mathrm{the}\:\mathrm{atoms}\:\mathrm{and}\:\mathrm{PV}/{n}\mathrm{RT}\:>\:\mathrm{1} \\ $$$$\left({d}\right)\:\mathrm{finite}\:\mathrm{size}\:\mathrm{of}\:\mathrm{the}\:\mathrm{atoms}\:\mathrm{and}\:\mathrm{PV}/{n}\mathrm{RT}\:<\:\mathrm{1} \\…
Question Number 21482 by daneen abbas last updated on 24/Sep/17 $$ \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 152555 by Gbenga last updated on 29/Aug/21 $$\underset{\boldsymbol{{k}}=\mathrm{1}} {\overset{\boldsymbol{{n}}} {\boldsymbol{\sum}}{k}}^{\mathrm{5}} =? \\ $$ Answered by EDWIN88 last updated on 29/Aug/21 $$\underset{{k}=\mathrm{1}} {\overset{{n}} {\sum}}\left({k}+\mathrm{1}\right)^{\mathrm{5}}…
Question Number 87017 by device4438043516@gmail.com last updated on 23/May/20 $$ \\ $$ Answered by Ar Brandon last updated on 02/Apr/20 Terms of Service Privacy Policy…
Question Number 87014 by mathmax by abdo last updated on 01/Apr/20 $${calculate}\:\int_{\mathrm{0}} ^{\infty} \:\:\frac{{e}^{−\left[\mathrm{2}{x}\right]} }{\left({x}+\mathrm{1}\right)^{\mathrm{2}} }{dx} \\ $$ Commented by mathmax by abdo last updated…
Question Number 152551 by alisiao last updated on 29/Aug/21 $$\frac{{sin}\left({x}\right)+{sin}\left(\mathrm{2}{x}\right)+….+{sin}\left({nx}\right)}{{cos}\left({x}\right)+{cos}\left(\mathrm{2}{x}\right)+….+{cos}\left({nx}\right)}\:=\:? \\ $$ Answered by qaz last updated on 29/Aug/21 $$\frac{\mathrm{S}}{\mathrm{C}}=\frac{\Im\left(\mathrm{e}^{\mathrm{ix}} +\mathrm{e}^{\mathrm{2ix}} +…+\mathrm{e}^{\mathrm{nix}} \right)}{\Re\left(\mathrm{e}^{\mathrm{ix}} +\mathrm{e}^{\mathrm{2ix}} +…+\mathrm{e}^{\mathrm{nix}}…