Question Number 805 by 123456 last updated on 17/Mar/15 $${f}:\mathbb{R}^{\mathrm{2}} \rightarrow\mathbb{R} \\ $$$${f}\left({xy}\right)={xf}\left({y}\right)+{yf}\left({x}\right) \\ $$$${f}\left({x}\right)=? \\ $$ Answered by prakash jain last updated on 17/Mar/15…
Question Number 66341 by mathmax by abdo last updated on 12/Aug/19 $${find}\:{lim}_{{n}\rightarrow+\infty} \:\:\:\frac{\mathrm{1}}{{n}^{\mathrm{4}} }\:\sum_{{k}=\mathrm{1}} ^{{n}} \:\frac{{k}^{\mathrm{3}} }{\:\sqrt{\left(\mathrm{1}+\left(\frac{{k}}{{n}}\right)^{\mathrm{2}} \right)^{\mathrm{3}} }} \\ $$ Commented by Prithwish sen…
Question Number 66338 by mathmax by abdo last updated on 12/Aug/19 $${find}\:\int_{\frac{\mathrm{1}}{\mathrm{2}}} ^{\frac{\mathrm{5}}{\mathrm{4}}} \:\:\:\frac{{x}^{\mathrm{3}} {dx}}{\:\sqrt{\mathrm{2}+{x}−{x}^{\mathrm{2}} }} \\ $$ Commented by mathmax by abdo last updated…
Question Number 66339 by mathmax by abdo last updated on 12/Aug/19 $${calculate}\:\int_{\frac{\mathrm{1}}{\mathrm{2}}} ^{\mathrm{1}} \:\frac{{dx}}{\:\sqrt{\mathrm{4}{x}^{\mathrm{2}} −\mathrm{1}}+\sqrt{\mathrm{4}{x}^{\mathrm{2}} \:+\mathrm{1}}} \\ $$ Commented by Prithwish sen last updated on…
Question Number 131875 by mnjuly1970 last updated on 09/Feb/21 $$\:\:\:\:\:\:\:\:\:\:\:…{nice}\:\:\:{calculus}.. \\ $$$$\:\:\:\:\:\Phi=\int_{\mathrm{0}} ^{\:\infty} \frac{{ln}\left({cosh}\left({x}\right)\right)}{{cosh}\left({x}\right)}{dx}=??? \\ $$ Answered by mindispower last updated on 09/Feb/21 $$=\int_{\mathrm{1}} ^{\infty}…
Question Number 66336 by mathmax by abdo last updated on 12/Aug/19 $${calculate}\:\int_{\mathrm{0}} ^{\frac{\pi}{\mathrm{4}}} \:\:\frac{{tanx}}{\:\sqrt{\mathrm{2}}{cosx}\:+\mathrm{2}{sin}^{\mathrm{2}} {x}}{dx} \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 131874 by mnjuly1970 last updated on 09/Feb/21 $$\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:…\:{calculus}\:… \\ $$$$\:\:\:\phi\:=\int_{\mathrm{0}} ^{\:\infty} \frac{{tanh}^{\mathrm{2}} \left({x}\right){dx}}{{x}^{\mathrm{2}} }\:=? \\ $$$$ \\ $$ Terms of Service Privacy Policy…
Question Number 66337 by mathmax by abdo last updated on 12/Aug/19 $${calculate}\:\int_{−\mathrm{7}} ^{−\mathrm{3}} \:\:\frac{\left({x}−\mathrm{1}\right){dx}}{\:\sqrt{{x}^{\mathrm{2}} \:+\mathrm{2}{x}−\mathrm{3}}} \\ $$ Commented by Prithwish sen last updated on 13/Aug/19…
Question Number 800 by 123456 last updated on 15/Mar/15 $$\underset{{n}=\mathrm{0}} {\overset{+\infty} {\sum}}\frac{{n}\centerdot\mathrm{cos}\left(\frac{{n}}{\pi^{{n}} }\right)}{\mathrm{1}+{n}^{\mathrm{2}} }\:{converge}\:{ou}\:{diverge}? \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 66334 by mathmax by abdo last updated on 12/Aug/19 $${let}\:{I}\:=\int_{\mathrm{0}} ^{\frac{\pi}{\mathrm{4}}} \:\:{e}^{−\mathrm{2}{t}} \:{cos}^{\mathrm{4}} {t}\:{dt}\:{and}\:{J}=\int_{\mathrm{0}} ^{\frac{\pi}{\mathrm{4}}} \:{e}^{−\mathrm{2}{t}} \:{sin}^{\mathrm{4}} {tdt} \\ $$$$\left.\mathrm{1}\right){calculate}\:\:{I}+{J}\:{and}\:{I}−{J} \\ $$$$\left.\mathrm{2}\right)\:{find}\:{the}\:{value}\:{of}\:{I}\:{and}\:{J}. \\…