Question Number 44423 by peter frank last updated on 28/Sep/18 $${evaluate}\:\int\mathrm{3}^{{x}} {dx} \\ $$ Answered by MrW3 last updated on 28/Sep/18 $$\int\mathrm{3}^{{x}} {dx} \\ $$$$=\int{e}^{{x}\mathrm{ln}\:\mathrm{3}}…
Question Number 109949 by mnjuly1970 last updated on 26/Aug/20 Answered by mathdave last updated on 26/Aug/20 $${solution} \\ $$$${I}=\int_{\mathrm{0}} ^{\pi} \mathrm{ln}\left(\frac{\mathrm{sin}{x}}{\mathrm{cos}{x}}+\frac{\mathrm{cos}{x}}{\mathrm{sin}{x}}\right){dx}=\int_{\mathrm{0}} ^{\pi} \mathrm{ln}\left(\frac{\mathrm{sin}^{\mathrm{2}} {x}+\mathrm{cos}^{\mathrm{2}} {x}}{\mathrm{cos}{x}\mathrm{sin}{x}}\right){dx}…
Question Number 175471 by mnjuly1970 last updated on 31/Aug/22 Answered by Ar Brandon last updated on 31/Aug/22 $$\Omega=\int_{\mathrm{0}} ^{\frac{\pi}{\mathrm{2}}} \mathrm{sin2}{x}\mathrm{ln}^{\mathrm{2}} \left(\mathrm{1}+\mathrm{cos}{x}\right){dx}=\mathrm{2}\int_{\mathrm{0}} ^{\frac{\pi}{\mathrm{2}}} \mathrm{sin}{x}\mathrm{cos}{x}\mathrm{ln}^{\mathrm{2}} \left(\mathrm{1}+\mathrm{cos}{x}\right){dx} \\…
Question Number 175466 by manish54 last updated on 31/Aug/22 Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 175467 by manish54 last updated on 31/Aug/22 Commented by Frix last updated on 01/Sep/22 $$\underset{\mathrm{1}} {\overset{\infty} {\int}}\frac{{dx}}{\left({x}^{\mathrm{2}} +\mathrm{1}\right)^{\mathrm{1}/\mathrm{2}} }=\left[\mathrm{sinh}\:{x}\right]_{\mathrm{1}} ^{\infty} \:\mathrm{does}\:\mathrm{not}\:\mathrm{converge} \\ $$$$\underset{\mathrm{1}}…
Question Number 175436 by mathlove last updated on 30/Aug/22 $$\int\frac{\mathrm{2}{x}^{\mathrm{2}} +\mathrm{3}}{\:\sqrt{\mathrm{3}{x}+\mathrm{2}}}=? \\ $$ Commented by Ar Brandon last updated on 30/Aug/22 $$\mathrm{Synthax}\:\mathrm{error}!\:\mathrm{haha}! \\ $$ Commented…
Question Number 109891 by bemath last updated on 26/Aug/20 $$\:\:\frac{\Delta{be}\bigtriangledown}{{math}} \\ $$$$\int\:\frac{\mathrm{arc}\:\mathrm{tan}\:{x}}{\left(\mathrm{1}+\frac{\mathrm{1}}{{x}^{\mathrm{2}} }\right)}\:{dx}\:? \\ $$ Answered by john santu last updated on 26/Aug/20 $$\:\:\frac{{JS}}{\bigstar\blacksquare\bigstar} \\…
Question Number 109884 by 4635 last updated on 26/Aug/20 Commented by mohammad17 last updated on 26/Aug/20 $$ \\ $$$${set}:\:{y}={ln}^{{n}} {x}\rightarrow{x}={e}^{\frac{{y}}{{n}}} \rightarrow{dx}={e}^{\frac{{y}}{{n}}} \:\:\frac{{dy}}{{n}}\: \\ $$$${x}=\mathrm{1}\rightarrow{y}=\mathrm{0}\:,\:{x}={e}\rightarrow{y}=\mathrm{1} \\…
Question Number 109872 by bemath last updated on 26/Aug/20 $$\:\:\frac{\bigstar{be}\bigstar}{\mathcal{M}{ath}} \\ $$$$\int\:\frac{\mathrm{cos}\:{x}\:{dx}}{\mathrm{sin}\:^{\mathrm{2}} {x}+\mathrm{4sin}\:{x}−\mathrm{5}}\:? \\ $$ Commented by bemath last updated on 26/Aug/20 $${santuyy}\:{all}\:{master} \\ $$…
Question Number 175395 by infinityaction last updated on 29/Aug/22 $$\:\:\:\:\:{f}\left(\mathrm{4}\right)\:=\:\frac{\mathrm{1}}{\mathrm{4}}\:\:\:\:\:\:{and}\:\:\:\:{f}\left(\mathrm{8}\right)\:=\:\frac{\mathrm{1}}{\mathrm{2}} \\ $$$$\:\:\:\int_{\mathrm{4}} ^{\mathrm{8}} \:\frac{\:\left[{f}'\left({x}\right)\right]^{\mathrm{2}} }{\left[{f}\left({x}\right)\right]^{\mathrm{4}} }{dx}\:\:=\:\:\mathrm{1}\:\:\:\:{then}\:\:\:{f}\left(\mathrm{6}\right)=\:? \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com