Question Number 122922 by bemath last updated on 21/Nov/20 $$\:\:\:\underset{\mathrm{0}} {\overset{\pi/\mathrm{4}} {\int}}\:\frac{\mathrm{cos}\:{x}+\mathrm{sin}\:{x}}{\mathrm{16sin}\:\mathrm{2}{x}+\mathrm{9}}\:{dx}\: \\ $$ Answered by liberty last updated on 21/Nov/20 $$\varsigma\:=\:\underset{\mathrm{0}} {\overset{\pi/\mathrm{4}} {\int}}\frac{\mathrm{cos}\:{x}+\mathrm{sin}\:{x}}{\mathrm{16sin}\:\mathrm{2}{x}+\mathrm{9}}\:{dx}\: \\…
Question Number 57385 by Tinkutara last updated on 03/Apr/19 Commented by Tinkutara last updated on 03/Apr/19 How to prove d? Answered by einsteindrmaths@hotmail.fr last updated on 03/Apr/19 $${S}_{{n}}…
Question Number 122919 by bemath last updated on 20/Nov/20 Answered by Dwaipayan Shikari last updated on 20/Nov/20 $$\int_{\mathrm{0}} ^{\frac{\mathrm{1}}{\mathrm{2}}} \frac{{xe}^{\mathrm{2}{x}} }{\left(\mathrm{1}+\mathrm{2}{x}\right)^{\mathrm{2}} }{dx} \\ $$$$=\frac{\mathrm{1}}{\mathrm{4}}\int_{\mathrm{0}} ^{\mathrm{1}}…
Question Number 122885 by CanovasCamiseros last updated on 20/Nov/20 Commented by CanovasCamiseros last updated on 20/Nov/20 $$\boldsymbol{{Please}}\:\boldsymbol{{help}} \\ $$ Answered by ebi last updated on…
Question Number 122884 by CanovasCamiseros last updated on 20/Nov/20 Commented by CanovasCamiseros last updated on 20/Nov/20 $$\boldsymbol{{Need}}\:\boldsymbol{{help}}\:\boldsymbol{{for}}\:\boldsymbol{{this}}\:\boldsymbol{{please}} \\ $$ Answered by MJS_new last updated on…
Question Number 122882 by mnjuly1970 last updated on 20/Nov/20 $$\:\:\:\:\:\:\:\:\:…\:\:{nice}\:\:{calculus}… \\ $$$$\:\:\:\:{prove}\:{that}\:::: \\ $$$$\:\:\:\:\:\:\:\Omega=\int_{\mathrm{0}} ^{\:\mathrm{1}} \left(\frac{{x}^{\varphi} −\mathrm{1}}{{ln}\left({x}\right)}\right)^{\mathrm{2}} {dx}=\sqrt{\mathrm{5}}\:{ln}\left(\varphi\right) \\ $$$$\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:.{m}.{n}. \\ $$ Answered by TANMAY…
Question Number 122875 by pipin last updated on 20/Nov/20 $$\:\int\frac{\left(\boldsymbol{\mathrm{x}}^{\mathrm{2}} +\mathrm{1}\right)\boldsymbol{\mathrm{dx}}}{\boldsymbol{\mathrm{x}}^{\mathrm{4}} +\boldsymbol{\mathrm{x}}^{\mathrm{2}} +\mathrm{1}}\:=\:… \\ $$$$\: \\ $$ Answered by som(math1967) last updated on 20/Nov/20 $$\int\frac{\frac{\mathrm{x}^{\mathrm{2}}…
Question Number 122877 by bemath last updated on 20/Nov/20 $$\:\:\int\:\left(\mathrm{sin}^{−\mathrm{1}} \left({x}\right)\right)^{\mathrm{2}} \:{dx}\:? \\ $$ Commented by liberty last updated on 20/Nov/20 $$\:{let}\:{u}\:=\:\mathrm{sin}^{−\mathrm{1}} \left({x}\right)\:\Rightarrow{x}\:=\:\mathrm{sin}\:{u}\: \\ $$$$\Rightarrow\:{dx}\:=\:\mathrm{cos}\:{u}\:{du}\:…
Question Number 122867 by bemath last updated on 20/Nov/20 Answered by som(math1967) last updated on 20/Nov/20 $$\mathrm{I}=\underset{\mathrm{0}} {\overset{\frac{\pi}{\mathrm{2}}} {\int}}\frac{\sqrt{\mathrm{cosx}}\mathrm{dx}}{\:\sqrt{\mathrm{cosx}}+\sqrt{\mathrm{sinx}}} \\ $$$$\mathrm{again}\:\mathrm{I}=\underset{\mathrm{0}} {\overset{\frac{\pi}{\mathrm{2}}} {\int}}\frac{\sqrt{\mathrm{cos}\left(\frac{\pi}{\mathrm{2}}−\mathrm{x}\right)}\mathrm{dx}}{\:\sqrt{\mathrm{cos}\left(\frac{\pi}{\mathrm{2}}−\mathrm{x}\right)}+\sqrt{\mathrm{sin}\left(\frac{\pi}{\mathrm{2}}−\mathrm{x}\right)}} \\ $$$$=\underset{\mathrm{0}}…
Question Number 57325 by turbo msup by abdo last updated on 02/Apr/19 $${calculate}\:\int_{\mathrm{0}} ^{\frac{\pi}{\mathrm{2}}} \:\frac{{ln}\left(\mathrm{1}+{sinx}\right)}{{sinx}}{dx} \\ $$ Commented by Abdo msup. last updated on 05/Apr/19…