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…
Question Number 109212 by mathmax by abdo last updated on 22/Aug/20 $$\mathrm{calculate}\:\int_{\mathrm{0}} ^{\pi} \:\frac{\mathrm{sin}\left(\mathrm{nx}\right)}{\mathrm{cosx}}\mathrm{dx}\:\:\mathrm{with}\:\mathrm{n}\:\mathrm{integr} \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 43675 by maxmathsup by imad last updated on 13/Sep/18 $${calculate}\:\:\:\:\:\int_{\mathrm{1}} ^{\mathrm{2}} \:\:\:\frac{{dx}}{\mathrm{1}+{x}^{\mathrm{4}} }\:. \\ $$ Commented by maxmathsup by imad last updated on…
Question Number 43676 by maxmathsup by imad last updated on 13/Sep/18 $$\left.\mathrm{1}\right){calculate}\:\:{I}\:=\:\int_{\mathrm{0}} ^{\infty} \:\:\:\:\frac{{dx}}{{x}^{\mathrm{2}} −{i}}\:\:{and}\:\:{J}\:=\:\int_{\mathrm{0}} ^{\infty} \:\:\frac{{dx}}{{x}^{\mathrm{2}} \:+{i}} \\ $$$$\left.\mathrm{2}\right)\:{find}\:{the}\:{value}\:{of}\:\int_{\mathrm{0}} ^{\infty} \:\:\:\frac{{dx}}{{x}^{\mathrm{4}} \:+\mathrm{1}} \\ $$…
Question Number 43657 by Tinkutara last updated on 13/Sep/18 Commented by maxmathsup by imad last updated on 24/Sep/18 $${let}\:{A}\:=\:\int\:\:\:\frac{{dx}}{\left({x}^{\mathrm{2}} \:+\mathrm{2}{x}\:+\mathrm{10}\right)^{\mathrm{2}} }\:{we}\:{have}\:{A}\:=\int\:\:\:\frac{{dx}}{\left\{\left({x}+\mathrm{1}\right)^{\mathrm{2}} \:+\mathrm{9}\right\}^{\mathrm{2}} } \\ $$$${changement}\:{x}+\mathrm{1}\:=\mathrm{3}{tan}\theta\:{give}\:…