Question Number 169930 by Mathspace last updated on 12/May/22 $${find}\:{f}\left(\alpha\right)=\int_{\mathrm{0}} ^{\mathrm{1}} \frac{{arctan}\left(\alpha{x}\right)}{\mathrm{1}+{x}^{\mathrm{2}} }{dx} \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 104388 by Ar Brandon last updated on 21/Jul/20 $$\int\frac{\mathrm{d}{x}}{{x}^{\mathrm{2}} \sqrt[{\mathrm{3}}]{{x}^{\mathrm{3}} −\mathrm{1}}} \\ $$ Answered by Dwaipayan Shikari last updated on 21/Jul/20 $$\int\frac{\mathrm{dx}}{\mathrm{x}^{\mathrm{3}} \left(\mathrm{1}−\frac{\mathrm{1}}{\mathrm{x}^{\mathrm{3}}…
Question Number 169906 by MikeH last updated on 12/May/22 $$\mathrm{Evaluate}\:\int\int{e}^{\mathrm{2}{x}+\mathrm{3}{y}} {dxdy}\:\mathrm{over}\:\mathrm{the}\:\mathrm{triangle} \\ $$$$\mathrm{bounded}\:\mathrm{by}\:\mathrm{the}\:\mathrm{lines}\:{x}\:=\:\mathrm{0},\:{y}\:=\:\mathrm{0},\:{x}+{y}\:=\:\mathrm{1}. \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 104359 by bemath last updated on 21/Jul/20 $${solve}\:{this}\:{using}\:{Riemann} \\ $$$${sum}\:{f}\left({x}\right)=\mathrm{2}{x}\:;\:\left[\mathrm{0},\mathrm{4}\right]\:{for}\:{n}=\mathrm{4} \\ $$ Answered by Ar Brandon last updated on 21/Jul/20 $$\int_{\mathrm{0}} ^{\mathrm{4}} \mathrm{2}{x}\mathrm{d}{x}=\underset{\mathrm{n}\rightarrow\infty}…
Question Number 169873 by sciencestudent last updated on 11/May/22 $$\underset{\mathrm{0}} {\overset{\mathrm{1}} {\int}}\frac{{ln}\left(\mathrm{1}+{x}\right)}{{x}}{dx}=? \\ $$ Answered by ArielVyny last updated on 11/May/22 $$\underset{{n}\geqslant\mathrm{0}} {\sum}\left(−\mathrm{1}\right)^{{n}} {x}^{{n}} =\frac{\mathrm{1}}{\mathrm{1}+{x}}…
Question Number 38804 by maxmathsup by imad last updated on 30/Jun/18 $${let}\:\:{A}_{{n}} =\:\int_{\mathrm{0}} ^{{n}} \:\:\:\frac{\left(−\mathrm{1}\right)^{{x}} }{\mathrm{2}\left[{x}\right]\:+\mathrm{1}}{dx} \\ $$$$\left.\mathrm{1}\right)\:{calculate}\:{A}_{{n}} \\ $$$$\left.\mathrm{2}\right)\:{find}\:{lim}_{{n}\rightarrow+\infty} \:{A}_{{n}} \\ $$ Commented by…
Question Number 104339 by bemath last updated on 21/Jul/20 $${Examine}\:\underset{\mathrm{0}} {\overset{\mathrm{3}} {\int}}\:\frac{\mathrm{2}{x}}{\left(\mathrm{1}−{x}^{\mathrm{2}} \right)^{\mathrm{2}/\mathrm{3}} }\:{dx} \\ $$ Commented by bemath last updated on 21/Jul/20 $${thank}\:{you}\:{both} \\…
Question Number 104338 by Ar Brandon last updated on 21/Jul/20 $$\int\frac{\mathrm{tdt}}{\left(\mathrm{1}+\mathrm{t}^{\mathrm{3}} \right)\sqrt[{\mathrm{3}}]{\mathrm{1}+\mathrm{t}^{\mathrm{3}} }} \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 169864 by mathlove last updated on 11/May/22 Answered by Mathspace last updated on 11/May/22 $$\left(^{\mathrm{3}} \sqrt{{x}}\right)={t}\:\Rightarrow{x}={t}^{\mathrm{3}} \:\Rightarrow \\ $$$$\int_{\mathrm{0}} ^{\mathrm{1}} \left(…\right)^{\left(…\right)} {dx}=\int_{\mathrm{0}} ^{\mathrm{1}}…
Question Number 104312 by Ar Brandon last updated on 20/Jul/20 $$\int_{\mathrm{0}} ^{\frac{\pi}{\mathrm{4}}} \frac{\sqrt{\mathrm{sin}^{\mathrm{2}} \theta+\mathrm{2}}}{\mathrm{sin}\theta}\mathrm{d}\theta \\ $$ Answered by mathmax by abdo last updated on 21/Jul/20…