Question Number 75888 by abdomathmax last updated on 19/Dec/19 $${find}\:\int_{\mathrm{0}} ^{\mathrm{1}} \sqrt{\mathrm{1}+{x}^{\mathrm{4}} }{dx} \\ $$ Commented by 21042004 last updated on 20/Dec/19 $$\mathrm{this}\:\mathrm{equation}\:\mathrm{is}\:\mathrm{so}\:\mathrm{long} \\ $$$$\frac{\sqrt{\mathrm{2}}+\mathrm{2}\sqrt[{\mathrm{4}}]{−\mathrm{1}}\mathrm{F}\left(\mathrm{1}−\frac{{i}}{\mathrm{arcsinh}\left(\sqrt[{\mathrm{4}}]{−\mathrm{1}}\right)}\right)+\mathrm{2}\sqrt[{\mathrm{4}}]{−\mathrm{1}}{F}\left({i}\centerdot\mathrm{arcsinh}^{−\mathrm{1}}…
Question Number 75889 by abdomathmax last updated on 19/Dec/19 $${find}\:\int\:\sqrt{\left({x}+\mathrm{1}\right)\left({x}+\mathrm{2}\right)\left(\mathrm{2}{x}−\mathrm{1}\right)}{dx} \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 141417 by mnjuly1970 last updated on 18/May/21 $$\:\:\:\:\:\:\:\:\:\:……..\:{advanced}\:…\:…\:…\:{calculus}……. \\ $$$$\:\:\:\:{prove}\:{that}:: \\ $$$$\:\:\:\:\:\mathscr{F}:=\:\int_{−\mathrm{1}} ^{\:\mathrm{0}} \frac{{e}^{{x}} +{e}^{\frac{\mathrm{1}}{{x}}} −\mathrm{1}}{{x}}\:{dx}\overset{??} {=}\gamma \\ $$ Answered by mnjuly1970 last…
Question Number 141419 by mnjuly1970 last updated on 18/May/21 $$ \\ $$$$\:\:\:\:\boldsymbol{\phi}:=\int_{\mathrm{0}} ^{\:\infty} \frac{{ln}\left({cosh}\left({x}\right)\right)}{{cosh}\left({x}\right)}{dx}\overset{?} {=}\int_{\mathrm{0}} ^{\:\frac{\pi}{\mathrm{2}}} {log}\left(\frac{\mathrm{1}}{{sin}\left({x}\right)}\right){dx} \\ $$ Answered by mindispower last updated on…
Question Number 75873 by Rio Michael last updated on 19/Dec/19 $$\int{xe}^{{x}} {dx} \\ $$ Answered by MJS last updated on 19/Dec/19 $${u}'=\mathrm{e}^{{x}} \:\Rightarrow\:{u}=\mathrm{e}^{{x}} \\ $$$${v}={x}\:\Rightarrow\:{v}'=\mathrm{1}…
Question Number 141407 by mnjuly1970 last updated on 18/May/21 $$ \\ $$$$\:\:\:\:\:\:\Omega:=\int_{\mathrm{0}} ^{\:\infty} \frac{{dx}}{\left({x}^{\mathrm{4}} −{x}^{\mathrm{2}} +\mathrm{1}\right)^{\mathrm{3}} }=? \\ $$ Answered by MJS_new last updated on…
Question Number 141388 by cesarL last updated on 18/May/21 $$\int_{\mathrm{0}} ^{\pi/\mathrm{2}} \sqrt{\left({senx}\centerdot{cosx}\right)}{dx} \\ $$$${Help} \\ $$ Answered by Dwaipayan Shikari last updated on 18/May/21 $$\int_{\mathrm{0}}…
Question Number 75848 by behi83417@gmail.com last updated on 18/Dec/19 $$\underset{\mathrm{0}} {\overset{\:\:\:\:\:\:\:\:\frac{\boldsymbol{\pi}}{\mathrm{2}}} {\int}}\frac{\boldsymbol{\mathrm{sin}}\mathrm{4}\boldsymbol{\mathrm{x}}}{\mathrm{1}+\boldsymbol{\mathrm{sinx}}+\boldsymbol{\mathrm{cosx}}}\boldsymbol{\mathrm{dx}}=? \\ $$ Commented by mathmax by abdo last updated on 18/Dec/19 $${let}\:{I}=\int_{\mathrm{0}} ^{\frac{\pi}{\mathrm{2}}}…
Question Number 141387 by cesarL last updated on 18/May/21 $$\int_{−\pi/\mathrm{4}} ^{\pi/\mathrm{4}} \left({sec}^{\mathrm{2}} {x}+{tgx}\right)^{\mathrm{2}} {dx} \\ $$ Answered by MJS_new last updated on 18/May/21 $$\underset{−\pi/\mathrm{4}} {\overset{\pi/\mathrm{4}}…
Question Number 75838 by Crabby89p13 last updated on 18/Dec/19 Commented by MJS last updated on 19/Dec/19 $$\mathrm{testing}\:\mathrm{all}\:\mathrm{derivates} \\ $$$$\Rightarrow \\ $$$$\frac{{d}}{{dx}}\left[\frac{{x}^{\mathrm{12}} }{\mathrm{6}\left(\mathrm{2}{x}^{\mathrm{4}} +\mathrm{3}{x}^{\mathrm{2}} +\mathrm{1}\right)^{\mathrm{3}} }\right]=…=\frac{\mathrm{3}{x}^{\mathrm{13}}…