Question Number 26507 by yesaditya22@gmail.com last updated on 26/Dec/17 $$\overset{\Pi} {\int}_{\mathrm{0}} \frac{\mathrm{xsinx}}{\mathrm{1}+\mathrm{cos}^{\mathrm{2}} \mathrm{x}}\mathrm{dx} \\ $$ Answered by kaivan.ahmadi last updated on 26/Dec/17 $$\mathrm{I}=\int_{\mathrm{0}} ^{\pi} \frac{\mathrm{xsinx}}{\mathrm{2}−\mathrm{sin}^{\mathrm{2}}…
Question Number 26495 by yesaditya22@gmail.com last updated on 26/Dec/17 Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 26486 by A1B1C1D1 last updated on 26/Dec/17 $$\int_{\:−\mathrm{1}} ^{\:\:\mathrm{1}} \frac{\mathrm{xdx}}{\left(\mathrm{x}^{\mathrm{2}} \:+\:\mathrm{1}\right)^{\mathrm{2}} } \\ $$ Commented by kaivan.ahmadi last updated on 26/Dec/17 $$\mathrm{u}=\mathrm{x}^{\mathrm{2}} +\mathrm{1}\Rightarrow\mathrm{du}=\mathrm{2xdx}…
Question Number 26463 by sanyam soni last updated on 25/Dec/17 $$\int_{\mathrm{0}} ^{\mathrm{2}\pi} \mathrm{cos}^{\mathrm{2}} \theta\mathrm{sin}\:\theta{d}\theta \\ $$ Commented by abdo imad last updated on 25/Dec/17 $$\left.=\:−\frac{\mathrm{1}}{\mathrm{3}}{cos}_{\theta}…
Question Number 91996 by student work last updated on 04/May/20 $$\int\left(\mathrm{arcsinx}\right)^{\mathrm{2}} \mathrm{dx}=? \\ $$ Commented by jagoll last updated on 04/May/20 $$\mathrm{let}\:\mathrm{sin}^{−\mathrm{1}} \left(\mathrm{x}\right)\:=\:\mathrm{t}\: \\ $$$$\mathrm{x}\:=\:\mathrm{sin}\:\mathrm{t}\:\Rightarrow\mathrm{dx}\:=\:\mathrm{cos}\:\mathrm{t}\:\mathrm{dt}\:…
Question Number 157531 by mathlove last updated on 24/Oct/21 Answered by phanphuoc last updated on 24/Oct/21 $${you}\:{can}\:{watch}\:{youtuber}\:{blackpenredpen} \\ $$$$ \\ $$ Answered by MJS_new last…
Question Number 91990 by Power last updated on 04/May/20 Commented by mathmax by abdo last updated on 04/May/20 $${I}\:=\int\:\frac{{x}^{\mathrm{3}} −\mathrm{6}}{{x}^{\mathrm{4}} \:+\mathrm{6}{x}\:+\mathrm{8}}\:\Rightarrow\:{I}\:=\frac{\mathrm{1}}{\mathrm{4}}\int\:\:\frac{\mathrm{4}{x}^{\mathrm{3}} −\mathrm{24}}{{x}^{\mathrm{4}} \:+\mathrm{6}{x}\:+\mathrm{8}}{dx}\:\Rightarrow \\ $$$$\mathrm{4}{I}\:=\int\frac{\mathrm{4}{x}^{\mathrm{3}}…
Question Number 26452 by yesaditya22@gmail.com last updated on 25/Dec/17 $$\int\sqrt{{tanx}} \\ $$ Answered by prakash jain last updated on 25/Dec/17 Terms of Service Privacy Policy…
Question Number 91982 by M±th+et+s last updated on 04/May/20 $${show}\:{that}\: \\ $$$$\int_{\mathrm{0}} ^{\frac{\pi}{\mathrm{2}}} {csc}\left({x}\right)\:{tan}^{−\mathrm{1}} \left({sin}\left({x}\right)\right)\:{dx}=\frac{\pi}{\mathrm{2}}{ln}\left(\mathrm{1}+\sqrt{\mathrm{2}}\right) \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 26446 by yesaditya22@gmail.com last updated on 25/Dec/17 Answered by ajfour last updated on 25/Dec/17 $$\mathrm{cos}\:\theta\mathrm{sin}\:\theta+\mathrm{sin}\:\theta\mathrm{cos}\:\theta={a} \\ $$$$\Rightarrow\:\mathrm{sin}\:\mathrm{2}\theta={a} \\ $$$$\frac{{d}\left(\mathrm{sin}\:\theta\right)}{{d}\left(\mathrm{cos}\:\theta\right)}=\frac{\mathrm{cos}\:\theta}{−\mathrm{sin}\:\theta}\:=−\sqrt{\frac{\mathrm{1}−{y}^{\mathrm{2}} }{\mathrm{1}−{x}^{\mathrm{2}} }}\:. \\ $$…