Question Number 949 by 123456 last updated on 04/May/15 $${f}:\mathbb{N}\rightarrow\mathbb{R} \\ $$$${g}:\mathbb{N}\rightarrow\mathbb{R} \\ $$$${f}\left({n}\right)=\underset{\mathrm{0}} {\overset{\mathrm{2}\pi} {\int}}{x}^{{n}} \mathrm{sin}\:{xdx} \\ $$$${g}\left({n}\right)=\underset{\mathrm{0}} {\overset{\mathrm{2}\pi} {\int}}{x}^{{n}} \mathrm{cos}\:{xdx} \\ $$$$\frac{{f}\left({n}+\mathrm{1}\right)−{f}\left({n}\right)}{{g}\left({n}+\mathrm{1}\right)−{g}\left({n}\right)}=? \\…
Question Number 132023 by mnjuly1970 last updated on 10/Feb/21 $$\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:…..{nice}\:\:{calculus}….. \\ $$$${prove}\:{that}::: \\ $$$$\:\:\:\:\boldsymbol{\phi}=\int_{\mathrm{0}} ^{\:\infty} \frac{{cos}\left(\mathrm{2}{x}\right)}{{cosh}\left({x}\right)}\:{dx}\overset{?} {=}\frac{\pi}{\mathrm{2}{cosh}\left(\pi\right)} \\ $$$$ \\ $$ Answered by mindispower last…
Question Number 66483 by ~ À ® @ 237 ~ last updated on 16/Aug/19 $$\:{calculate}\:\:\:\:\underset{{k}=\mathrm{2}} {\overset{\infty} {\sum}}\:\:\frac{\left(−\mathrm{1}\right)^{{k}} }{{k}}\:\zeta\left({k}\right)\:\:\:\:\:\:\:{if}\:\:\:\:\zeta\left({s}\right)=\underset{{n}=\mathrm{1}} {\overset{\infty} {\sum}}\:\:\frac{\mathrm{1}}{{n}^{{s}} }\: \\ $$ Commented by…
Question Number 945 by tera last updated on 04/May/15 $$\int_{\mathrm{1}} ^{\mathrm{2}} {x}^{\mathrm{2}} {sin}\mathrm{3}{x}\:{dx}\:=….. \\ $$ Answered by prakash jain last updated on 04/May/15 $$\mathrm{Integrate}\:\mathrm{by}\:\mathrm{parts} \\…
Question Number 66476 by aliesam last updated on 15/Aug/19 Commented by kaivan.ahmadi last updated on 15/Aug/19 $${t}=\mathrm{4}{x}+\mathrm{1}\Rightarrow \\ $$$$\frac{\left({t}−\mathrm{1}\right)^{\mathrm{2}} }{\left(\sqrt{{t}}−\mathrm{1}\right)^{\mathrm{2}} }={t}+\mathrm{2}\Rightarrow\frac{\left(\sqrt{{t}}−\mathrm{1}\right)^{\mathrm{2}} \left(\sqrt{{t}}+\mathrm{1}\right)^{\mathrm{2}} }{\left(\sqrt{{t}}−\mathrm{1}\right)^{\mathrm{2}} }={t}+\mathrm{2}\Rightarrow \\…
Question Number 943 by miguel last updated on 04/May/15 $${help}\:{me}.. \\ $$$$ \\ $$$$\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\int\frac{{lnx}}{\:\sqrt{\mathrm{1}−{x}}}{dx}=??? \\ $$$$ \\ $$ Commented by 123456 last updated on 04/May/15…
Question Number 66474 by Cmr 237 last updated on 15/Aug/19 $$\int{e}^{{x}^{\mathrm{2}} } {dx}=? \\ $$ Commented by mathmax by abdo last updated on 15/Aug/19 $${the}\:{calculator}\:{give}\:\int\:{e}^{{x}^{\mathrm{2}}…
Question Number 66470 by mathmax by abdo last updated on 15/Aug/19 $${calculate}\:\int_{\mathrm{0}} ^{\infty} \:\frac{{dx}}{\left({x}^{{n}} \:+\mathrm{8}\right)^{\mathrm{3}} }\:\:{withn}>\mathrm{1} \\ $$ Commented by ~ À ® @ 237…
Question Number 132010 by Salman_Abir last updated on 10/Feb/21 Commented by mr W last updated on 10/Feb/21 Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 132004 by bramlexs22 last updated on 10/Feb/21 $$\:\mathrm{very}\:\mathrm{nice}\: \\ $$$$\:\int\:\frac{\mathrm{cosec}\:^{\mathrm{2}} \mathrm{x}−\mathrm{2019}}{\mathrm{cos}\:^{\mathrm{2019}} \mathrm{x}}\:\mathrm{dx}\:? \\ $$ Answered by SLVR last updated on 10/Feb/21 $$ \\…