Question Number 143477 by ArielVyny last updated on 14/Jun/21 $$\int_{\mathrm{0}} ^{\mathrm{1}} {e}^{\mathrm{2}{arctg}\left({t}^{\mathrm{2}} \right)} {dt} \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 143474 by Ghaniy last updated on 14/Jun/21 $${for}\:{all}\:{positive}\:{integral}., \\ $$$$\:\mathrm{u}_{\mathrm{n}+\mathrm{1}} =\mathrm{u}_{\mathrm{n}} \left(\mathrm{u}_{\mathrm{n}−\mathrm{1}} ^{\mathrm{2}} −\mathrm{2}\right)−\mathrm{u}_{\mathrm{n}} \\ $$$$\:\mathrm{u}_{\mathrm{n}} =\mathrm{2}\:{and}\:\mathrm{u}_{\mathrm{1}} =\mathrm{2}\frac{\mathrm{1}}{\mathrm{2}} \\ $$$${prove}\:{that}\::\:\mathrm{3log}_{\mathrm{2}} \left[\mathrm{u}_{\mathrm{n}} \right]=\mathrm{2}^{\mathrm{n}} −\mathrm{1}\left(−\mathrm{1}\right)^{\mathrm{n}}…
Question Number 77918 by john santu last updated on 12/Jan/20 $$\int\underset{\mathrm{0}} {\overset{\pi} {\:}}\:{e}^{−\mathrm{2}{x}} \:\mathrm{sin}\:{x}\:{dx}\:?\: \\ $$ Commented by mathmax by abdo last updated on 12/Jan/20…
Question Number 12377 by tawa last updated on 20/Apr/17 $$\int\:\:\frac{\sqrt{\mathrm{1}\:+\:\sqrt{\mathrm{x}}}}{\mathrm{x}}\:\:\mathrm{dx} \\ $$ Answered by mrW1 last updated on 21/Apr/17 $${t}^{\mathrm{2}} =\sqrt{{x}} \\ $$$${t}^{\mathrm{4}} ={x} \\…
Question Number 143443 by mnjuly1970 last updated on 14/Jun/21 Commented by amin96 last updated on 14/Jun/21 $$? \\ $$$$ \\ $$ Answered by mr W…
Question Number 77886 by mathmax by abdo last updated on 11/Jan/20 $${calculate}\:\int_{\mathrm{0}} ^{\infty} \:\:\frac{{arctan}\left({x}^{\mathrm{2}} \:+{x}^{−\mathrm{2}} \right)}{{x}^{\mathrm{2}} \:+{a}^{\mathrm{2}} }{dx}\:\:{with}\:{a}>\mathrm{0} \\ $$$$\left.\mathrm{2}\right)\:{find}\:{the}\:{value}\:{of}\:\int_{\mathrm{0}} ^{\infty} \:\:\frac{{arctan}\left({x}^{\mathrm{2}} \:+{x}^{−\mathrm{2}} \right)}{{x}^{\mathrm{2}} \:+\mathrm{1}}{dx}…
Question Number 77887 by aliesam last updated on 11/Jan/20 $$\int\frac{{e}^{{sinh}\left({x}\right)} }{{cosh}\left({x}\right)}\:{dx} \\ $$ Answered by MJS last updated on 12/Jan/20 $$\int\frac{\mathrm{e}^{\mathrm{sinh}\:{x}} }{\mathrm{cosh}\:{x}}{dx}= \\ $$$$\:\:\:\:\:\left[{t}=\mathrm{sinh}\:{x}\:\rightarrow\:{dx}=\frac{\mathrm{1}}{\mathrm{cosh}\:{x}}\right] \\…
Question Number 77879 by aliesam last updated on 11/Jan/20 $$\int_{\mathrm{1}} ^{\infty} \frac{\mathrm{1}}{\:\sqrt{{x}^{\mathrm{3}} +\mathrm{5}}}\:{dx} \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 143399 by Ar Brandon last updated on 13/Jun/21 $$\int_{\mathrm{0}} ^{\mathrm{2}\pi} \frac{\mathrm{dx}}{\left(\mathrm{1}−\mathrm{ksinx}\right)^{\mathrm{2}} } \\ $$ Answered by Ar Brandon last updated on 13/Jun/21 $$\mathrm{I}=\int_{\mathrm{0}}…
Question Number 12303 by Gaurav3651 last updated on 18/Apr/17 $${What}\:{is}\underset{\mathrm{1}} {\overset{\mathrm{3}} {\int}}\mid\mathrm{1}−{x}^{\mathrm{4}} \:\mid{dx}\:{equal}\:{to}? \\ $$$$\left({a}\right)\:\:−\mathrm{232}/\mathrm{5} \\ $$$$\left({b}\right)\:\:−\mathrm{116}/\mathrm{5} \\ $$$$\left({c}\right)\:\:\:\mathrm{116}/\mathrm{5} \\ $$$$\left({d}\right)\:\:\:\mathrm{232}/\mathrm{5} \\ $$ Answered by…