Question Number 43803 by vc526 last updated on 15/Sep/18 $$\infty \\ $$$$\int\:\:\:\:\frac{\mathrm{1}}{{x}\:\mathrm{l}{n}\:{x}}{dx}\:\:\:=\: \\ $$$$\mathrm{0} \\ $$ Answered by tanmay.chaudhury50@gmail.com last updated on 15/Sep/18 $${t}={lnx} \\…
Question Number 43731 by Meritguide1234 last updated on 14/Sep/18 Answered by MJS last updated on 14/Sep/18 $$\int\left(\frac{{x}^{\mathrm{2}} −\mathrm{3}{x}+\frac{\mathrm{1}}{\mathrm{3}}}{{x}^{\mathrm{3}} −{x}+\mathrm{1}}\right)^{\mathrm{2}} {dx}=\frac{\mathrm{1}}{\mathrm{9}}\int\frac{\left(\mathrm{3}{x}^{\mathrm{2}} +\mathrm{9}{x}+\mathrm{1}\right)^{\mathrm{2}} }{\left({x}^{\mathrm{3}} −{x}+\mathrm{1}\right)^{\mathrm{2}} }{dx} \\…
Question Number 43699 by Meritguide1234 last updated on 14/Sep/18 Commented by Meritguide1234 last updated on 14/Sep/18 $${complete}\:{it} \\ $$ Commented by maxmathsup by imad last…
Question Number 109220 by mathmax by abdo last updated on 22/Aug/20 $$\mathrm{calculate}\:\:\mathrm{I}_{\mathrm{n}} =\int_{\mathrm{0}} ^{\mathrm{2}\pi} \:\frac{\mathrm{cos}\left(\mathrm{nx}\right)}{\mathrm{cosx}\:+\mathrm{sinx}}\mathrm{dx}\:\:\left(\mathrm{n}\rightarrow\mathrm{natural}\right) \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 109218 by mathmax by abdo last updated on 22/Aug/20 $$\mathrm{calculate}\:\int_{\mathrm{0}} ^{\infty} \:\frac{\mathrm{arctan}\left(\mathrm{2}+\mathrm{2t}^{\mathrm{2}} \right)}{\mathrm{1}+\mathrm{t}^{\mathrm{2}} }\mathrm{dt} \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 43683 by Raj Singh last updated on 14/Sep/18 Commented by Meritguide1234 last updated on 14/Sep/18 Commented by maxmathsup by imad last updated on…
Question Number 43682 by Raj Singh last updated on 14/Sep/18 Commented by Meritguide1234 last updated on 14/Sep/18 Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 109219 by mathmax by abdo last updated on 22/Aug/20 $$\mathrm{let}\:\mathrm{f}\left(\mathrm{x}\right)\:=\frac{\mathrm{sin}\left(\alpha\mathrm{x}\right)}{\mathrm{sinx}}\:\:\:\:\:,\:\mathrm{2}\pi\:\mathrm{periodi}\:\mathrm{even} \\ $$$$\mathrm{developp}\:\mathrm{f}\:\mathrm{at}\:\mathrm{fourier}\:\mathrm{serie} \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 109214 by mathmax by abdo last updated on 22/Aug/20 $$\mathrm{calculateA}_{\mathrm{n}} =\:\int_{\mathrm{0}} ^{\infty} \:\:\:\frac{\mathrm{dx}}{\left(\mathrm{x}^{\mathrm{2}} +\mathrm{n}\right)\left(\mathrm{x}^{\mathrm{2}} \:+\mathrm{2n}\right)}\:\:\mathrm{with}\:\mathrm{n}\:\mathrm{integr}\:\mathrm{natural}\geqslant\mathrm{1} \\ $$ Answered by mathmax by abdo last…
Question Number 109215 by mathmax by abdo last updated on 22/Aug/20 $$\mathrm{calculate}\:\int_{\mathrm{0}} ^{\mathrm{1}} \:\frac{\mathrm{ln}\left(\mathrm{1}+\sqrt{\mathrm{1}+\mathrm{x}^{\mathrm{2}} }\right)}{\:\sqrt{\mathrm{1}+\mathrm{x}^{\mathrm{2}} }}\mathrm{dx} \\ $$ Commented by peter frank last updated on…