Question Number 35588 by abdo mathsup 649 cc last updated on 20/May/18 $${calculate}\:\int_{\mathrm{0}} ^{\frac{\pi}{\mathrm{3}}} \:\:\:\:\frac{{sinx}\:{cos}\left({cosx}\right)}{\mathrm{1}+\mathrm{2}{sin}\left({cosx}\right)}{dx} \\ $$ Commented by abdo imad last updated on 21/May/18…
Question Number 35589 by abdo mathsup 649 cc last updated on 20/May/18 $${let}\:\:\:{I}\:\:=\:\:\int_{\mathrm{0}} ^{\infty} \:\:{e}^{−{tx}} \:\mid{sint}\mid{dt}\:\:{with}\:{x}>\mathrm{0} \\ $$$${find}\:{the}\:{value}\:{of}\:{I}\:. \\ $$ Commented by abdo mathsup 649…
Question Number 35586 by abdo mathsup 649 cc last updated on 20/May/18 $${find}\:{the}\:{value}\:{of}\: \\ $$$${f}\left(\alpha\right)\:=\:\int_{\mathrm{0}} ^{\infty} \:\:\:\:\:\:\frac{{arctan}\left(\alpha{x}\right)}{\mathrm{1}+{x}^{\mathrm{2}} }{dx}\:\:{with}\:\alpha\:{from}\:{R}\:. \\ $$ Terms of Service Privacy Policy…
Question Number 35587 by abdo mathsup 649 cc last updated on 20/May/18 $${let}\:{f}\left({t}\right)\:=\int_{\mathrm{0}} ^{\mathrm{1}} \:\:\:\:\frac{{e}^{−{t}\left(\mathrm{1}+{x}^{\mathrm{2}} \right)} }{\mathrm{1}+{x}^{\mathrm{2}} }{dx}\:{with}\:{t}\geqslant\mathrm{0} \\ $$$${find}\:{a}\:{simple}\:{form}\:{of}\:{f}\left({t}\right)\:. \\ $$ Terms of Service…
Question Number 35585 by abdo mathsup 649 cc last updated on 20/May/18 $${let}\:{f}\left({x}\right)=\:\int_{\mathrm{0}} ^{{x}} \:{sin}\left({cost}\right){dt} \\ $$$${developp}\:{f}\:{at}\:{integr}\:{serie} \\ $$ Terms of Service Privacy Policy Contact:…
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Question Number 35584 by abdo mathsup 649 cc last updated on 20/May/18 $${let}\:\:{f}\left({t}\right)\:=\:\int_{\mathrm{0}} ^{\infty} \:\:\:\:\:\frac{{arctan}\left({e}^{−{tx}^{\mathrm{2}} } \right)}{{x}^{\mathrm{2}} }\:{dx}\:{with}\:{t}>\mathrm{0} \\ $$$$\left.\mathrm{1}\right)\:{study}\:\:{the}\:{existence}\:{of}\:\:{f}\left({t}\right) \\ $$$$\left.\mathrm{2}\right)\:{calculate}\:{f}^{'} \left({t}\right) \\ $$…
Question Number 35582 by abdo mathsup 649 cc last updated on 20/May/18 $${let}\:{g}\left({x}\right)=\:\frac{\mathrm{1}}{\mathrm{2}+{sinx}}\:\:\:\:,\:\mathrm{2}\pi\:{periodic}\:{odd} \\ $$$${developp}\:{f}\:{at}\:{fourier}\:{serie}\:. \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 35583 by abdo mathsup 649 cc last updated on 20/May/18 $${find}\:\:\int_{\mathrm{0}} ^{\frac{\pi}{\mathrm{6}}} \:\sqrt{{x}−{sinx}}\:{dx} \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 35580 by abdo mathsup 649 cc last updated on 20/May/18 $${if}\:\:\:\frac{\mathrm{1}}{\mathrm{1}+{cosx}}\:=\:\frac{{a}_{\mathrm{0}} }{\mathrm{2}}\:+\sum_{{n}=\mathrm{1}} ^{\infty} \:{a}_{{n}} \:{cos}\left({nx}\right)\:\:{calculate}\:{a}_{\mathrm{0}} \\ $$$${and}\:{a}_{{n}} \\ $$ Terms of Service Privacy…