Question Number 40868 by math khazana by abdo last updated on 28/Jul/18 $${calculate}\:\:\int_{\mathrm{0}} ^{\frac{\pi}{\mathrm{2}}} \:\:\frac{{x}}{{sinx}}{dx}\:\:. \\ $$ Commented by tanmay.chaudhury50@gmail.com last updated on 29/Jul/18 Commented…
Question Number 106392 by Ar Brandon last updated on 05/Aug/20 $$\int_{\mathrm{0}} ^{\infty} \sqrt{\frac{\mathrm{2t}+\mathrm{3}}{\mathrm{5t}^{\mathrm{3}} +\mathrm{3t}^{\mathrm{2}} +\mathrm{2}}}\mathrm{dt} \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 106391 by Ar Brandon last updated on 05/Aug/20 $$\int\mathrm{e}^{\mathrm{2x}^{\mathrm{2}} +\mathrm{x}} \mathrm{dx} \\ $$ Answered by Sarah85 last updated on 05/Aug/20 $${t}=\sqrt{\mathrm{2}}\left({x}+\frac{\mathrm{1}}{\mathrm{4}}\right)\:\Leftrightarrow\:{x}=\frac{\sqrt{\mathrm{2}}}{\mathrm{2}}{t}−\frac{\mathrm{1}}{\mathrm{4}}\:\Rightarrow\:{dx}=\frac{\sqrt{\mathrm{2}}}{\mathrm{2}}{dt} \\ $$$$\frac{\sqrt{\mathrm{2}}}{\mathrm{2}}\int\mathrm{e}^{{t}^{\mathrm{2}}…
Question Number 171910 by Tawa11 last updated on 21/Jun/22 $$\int\:\frac{\mathrm{dx}}{\mathrm{9}\:\:\:−\:\:\:\mathrm{4x}^{\mathrm{2}} } \\ $$$$\mathrm{using}\:\mathrm{the}\:\mathrm{trigonometric}\:\mathrm{substitution}. \\ $$ Answered by aleks041103 last updated on 21/Jun/22 $$\int\frac{{dx}}{\mathrm{9}−\mathrm{4}{x}^{\mathrm{2}} }=\frac{\mathrm{1}}{\mathrm{9}}\int\frac{{dx}}{\mathrm{1}−\left(\frac{\mathrm{2}{x}}{\mathrm{3}}\right)^{\mathrm{2}} }=\frac{\mathrm{1}}{\mathrm{9}}\:\frac{\mathrm{3}}{\mathrm{2}}\int\frac{{du}}{\mathrm{1}−{u}^{\mathrm{2}}…
Question Number 40830 by math khazana by abdo last updated on 28/Jul/18 $${find}\:\int\:\sqrt{\mathrm{2}+{tan}^{\mathrm{2}} {t}}{dt} \\ $$ Commented by maxmathsup by imad last updated on 31/Jul/18…
Question Number 40829 by math khazana by abdo last updated on 28/Jul/18 $${let}\:{f}\left({t}\right)\:=\:\int_{\mathrm{0}} ^{\infty} \:\:\frac{{arctan}\left({tx}\right)}{{x}^{\mathrm{3}} +\mathrm{8}}{dx} \\ $$$$\left.\mathrm{1}\right){find}\:{a}\:{simple}\:{form}\:{of}\:{f}\left({t}\right) \\ $$$$\left.\mathrm{2}\right){calculate}\:\int_{\mathrm{0}} ^{\infty} \:\:\:\frac{{arctan}\left({x}\right)}{{x}^{\mathrm{3}} \:+\mathrm{8}}{dx}\:. \\ $$…
Question Number 106365 by Mikael_786 last updated on 04/Aug/20 $$\mathrm{help} \\ $$$$\underset{\mathrm{n}=\mathrm{1}} {\overset{\infty} {\sum}}\frac{\mathrm{1}}{\left(\mathrm{2n}−\mathrm{1}\right)!} \\ $$ Commented by Dwaipayan Shikari last updated on 04/Aug/20 $${or}\:{sin}\:{h}\left(\mathrm{1}\right)…
Question Number 40823 by math khazana by abdo last updated on 28/Jul/18 $${calculate}\:\int_{\mathrm{0}} ^{\frac{\pi}{\mathrm{2}}} \sqrt{{cos}^{\mathrm{2}} {x}\:+\mathrm{3}{sin}^{\mathrm{2}} {x}}{dx} \\ $$ Commented by maxmathsup by imad last…
Question Number 40787 by rahul 19 last updated on 27/Jul/18 $$\mathrm{Let}\:\mathrm{I}_{\mathrm{1}} =\:\int_{\frac{\pi}{\mathrm{6}}} ^{\frac{\pi}{\mathrm{3}}} \frac{\mathrm{sin}\:{x}}{{x}}\:{dx}\:\:,\:\:\mathrm{I}_{\mathrm{2}} =\:\int_{\frac{\pi}{\mathrm{6}}} ^{\frac{\pi}{\mathrm{3}}} \frac{\mathrm{sin}\:\left(\mathrm{sin}\:{x}\right)}{\mathrm{sin}\:{x}}{dx} \\ $$$$,\:\mathrm{I}_{\mathrm{3}} =\:\int_{\frac{\pi}{\mathrm{6}}} ^{\frac{\pi}{\mathrm{3}}} \frac{\mathrm{sin}\:\left(\mathrm{tan}\:{x}\right)}{\mathrm{tan}\:{x}}{dx}.\: \\ $$$${P}\mathrm{rove}\:\mathrm{that}\:\mathrm{I}_{\mathrm{2}} \:>\:\mathrm{I}_{\mathrm{1}}…
Question Number 40760 by math khazana by abdo last updated on 27/Jul/18 $${find}\:\:\int\:\:\:\frac{\sqrt{\mathrm{1}+{x}^{\mathrm{2}} }}{\:\sqrt{\mathrm{1}−{x}^{\mathrm{3}} }}\:{dx} \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com