Question Number 131189 by Raxreedoroid last updated on 02/Feb/21 $$\int\frac{−{sin}\left({ln}\left({k}^{{x}} \right)\right)}{\:\sqrt{{k}}}{dx}=?? \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
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Question Number 131183 by john_santu last updated on 02/Feb/21 Answered by liberty last updated on 02/Feb/21 $$\:\frac{\mathrm{dP}}{\left(\mathrm{32}−\mathrm{P}\right)\mathrm{P}}\:=\:\mathrm{0}.\mathrm{0015}\:\mathrm{dt}\: \\ $$$$\frac{\mathrm{1}}{\mathrm{32}}\:\int\:\left[\:\frac{\mathrm{1}}{\mathrm{32}−\mathrm{P}}\:+\frac{\mathrm{1}}{\mathrm{P}}\:\right]\mathrm{dP}\:=\:\int\mathrm{0}.\mathrm{0015}\:\mathrm{dt} \\ $$$$\frac{\mathrm{1}}{\mathrm{32}}\:\mathrm{ln}\:\mid\frac{\mathrm{P}}{\mathrm{32}−\mathrm{P}}\:\mid\:=\:\mathrm{0}.\mathrm{0015t}\:+\:\mathrm{c}\: \\ $$$$\mathrm{ln}\:\mid\frac{\mathrm{P}}{\mathrm{32}−\mathrm{P}}\mid\:=\:\mathrm{0}.\mathrm{48t}+\mathrm{C}\:;\:\frac{\mathrm{P}\left(\mathrm{t}\right)}{\mathrm{32}−\mathrm{P}\left(\mathrm{t}\right)}\:=\:\lambda\mathrm{e}^{\mathrm{0}.\mathrm{048t}} \\ $$$$\Leftrightarrow\:\frac{\mathrm{32}−\mathrm{P}\left(\mathrm{t}\right)}{\mathrm{P}\left(\mathrm{t}\right)}\:=\:\frac{\mathrm{1}}{\lambda}\mathrm{e}^{−\mathrm{0}.\mathrm{048t}}…
Question Number 131176 by Raxreedoroid last updated on 02/Feb/21 $$\int\frac{{cos}\left({ln}\left({a}^{{x}} \right)\right)}{\:\sqrt{{k}}}{dx}=?? \\ $$ Answered by Ar Brandon last updated on 02/Feb/21 $$\mathrm{I}=\int\frac{\mathrm{cos}\left(\mathrm{lna}^{\mathrm{x}} \right)}{\:\sqrt{\mathrm{k}}}\mathrm{dx}\:,\:\mathrm{t}=\mathrm{lna}^{\mathrm{x}} \:\Rightarrow\mathrm{dt}=\mathrm{lnadx} \\…
Question Number 131167 by 676597498 last updated on 02/Feb/21 Answered by SEKRET last updated on 02/Feb/21 $$\boldsymbol{\mathrm{U}}_{\boldsymbol{\mathrm{n}}} =\left(\mathrm{1}+\frac{\mathrm{1}}{\boldsymbol{\mathrm{n}}^{\mathrm{2}} }\right)\left(\mathrm{1}+\frac{\mathrm{2}}{\boldsymbol{\mathrm{n}}^{\mathrm{2}} }\right)….\left(\mathrm{1}+\frac{\boldsymbol{\mathrm{n}}}{\boldsymbol{\mathrm{n}}^{\mathrm{2}} }\right) \\ $$$$\boldsymbol{\mathrm{ln}}\left(\boldsymbol{\mathrm{U}}_{\boldsymbol{\mathrm{n}}} \right)=\:\boldsymbol{\mathrm{ln}}\left(\mathrm{1}+\frac{\mathrm{1}}{\boldsymbol{\mathrm{n}}^{\mathrm{2}} }\right)+\boldsymbol{\mathrm{ln}}\left(\mathrm{1}+\frac{\mathrm{2}}{\:\:\boldsymbol{\mathrm{n}}^{\mathrm{2}}…
Question Number 131146 by EDWIN88 last updated on 02/Feb/21 $${Given}\:{f}\left({x}\right)={f}\left({x}+\mathrm{6}\right)\:\forall{x}\in\mathbb{R} \\ $$$${If}\:\int_{−\mathrm{2}} ^{\:\mathrm{2}} {f}\left({x}\right){dx}=−\mathrm{2}\:{and}\:\int_{−\mathrm{2}} ^{\:\mathrm{4}} {f}\left({x}\right){dx}=\mathrm{2} \\ $$$${find}\:{the}\:{value}\:{of}\:\int_{\mathrm{4}} ^{\:\mathrm{10}} {f}\left({x}\right){dx}. \\ $$ Commented by EDWIN88…
Question Number 131147 by EDWIN88 last updated on 02/Feb/21 $$\:\int_{\:\mathrm{0}} ^{\:\mathrm{1}} \frac{\mathrm{3}{x}^{\mathrm{2}} −\mathrm{1}}{\mathrm{1}+\sqrt{{x}−{x}^{\mathrm{3}} }}\:{dx}\:=?\: \\ $$ Commented by EDWIN88 last updated on 02/Feb/21 $$\:\sqrt{{x}−{x}^{\mathrm{3}} }\:=\:{w}−\mathrm{1}\:\Rightarrow{x}−{x}^{\mathrm{3}}…
Question Number 131138 by liberty last updated on 02/Feb/21 $$\int_{\mathrm{0}} ^{\:\mathrm{1}} \:\frac{\mathrm{arctan}\:\sqrt{\mathrm{x}^{\mathrm{2}} +\mathrm{2}}}{\left(\mathrm{x}^{\mathrm{2}} +\mathrm{1}\right)\sqrt{\mathrm{x}^{\mathrm{2}} +\mathrm{2}}}\:\mathrm{dx}\:=? \\ $$ Answered by EDWIN88 last updated on 02/Feb/21 $$=\frac{\mathrm{5}\pi^{\mathrm{2}}…
Question Number 131135 by LYKA last updated on 01/Feb/21 Commented by LYKA last updated on 01/Feb/21 $${if}\:{anyone}\:{knows}\:{this}\:{question}\: \\ $$$${please}\:{help}\:{me} \\ $$ Terms of Service Privacy…
Question Number 53 by surabhi last updated on 25/Jan/15 $$\mathrm{Evaluate}\:\int_{\mathrm{1}} ^{\mathrm{4}} \frac{\left({x}^{\mathrm{2}} +{x}\right)}{\:\sqrt{\mathrm{2}{x}+\mathrm{1}}}{dx} \\ $$ Answered by surabhi last updated on 04/Nov/14 $$\left[\left({x}^{\mathrm{2}} +{x}\right)\centerdot\sqrt{\mathrm{2}{x}+\mathrm{1}}\right]_{\mathrm{2}} ^{\mathrm{4}}…