Question Number 57237 by maxmathsup by imad last updated on 31/Mar/19 $${let}\:{f}\left({x}\right)\:=\int_{\mathrm{0}} ^{+\infty} \:\:\frac{{sin}\left({xt}^{\mathrm{2}} −\mathrm{1}\right)}{{t}^{\mathrm{4}} \:+\mathrm{1}}\:{dt} \\ $$$$\left.\mathrm{1}\right)\:{find}\:\:{a}\:{explicit}\:{form}\:{of}\:{f}\left({x}\right) \\ $$$$\left.\mathrm{2}\right)\:{let}\:{g}\left({x}\right)\:=\int_{\mathrm{0}} ^{\infty} \:\:\:\frac{{t}^{\mathrm{2}} \:{cos}\left({xt}^{\mathrm{2}} −\mathrm{1}\right)}{{t}^{\mathrm{4}} \:+\mathrm{1}}\:{dt}…
Question Number 57236 by maxmathsup by imad last updated on 31/Mar/19 $${clalculate}\:{A}_{{n}} =\:\int_{\mathrm{0}} ^{\mathrm{1}} \:{t}^{\mathrm{2}{n}} \left(\mathrm{1}−{t}\right)^{{n}} {dt}\:\:\:{with}\:{n}\:{integr}\:{natural}\:. \\ $$ Commented by maxmathsup by imad last…
Question Number 57235 by maxmathsup by imad last updated on 31/Mar/19 $${calculate}\:\int_{\mathrm{0}} ^{\frac{\pi}{\mathrm{2}}} \:\frac{{cosx}\:−{sinx}}{\:\sqrt{{cos}^{\mathrm{8}} {x}\:+{sin}^{\mathrm{8}} {x}}}\:{dx} \\ $$ Commented by maxmathsup by imad last updated…
Question Number 57233 by maxmathsup by imad last updated on 31/Mar/19 $${find}\:{the}\:{value}\:{of}\:\int_{\mathrm{0}} ^{+\infty} \:\:\frac{{x}^{\mathrm{4}} }{\left(\mathrm{1}+{x}^{\mathrm{2}} \:+{x}^{\mathrm{4}} \right)^{\mathrm{2}} }{dx} \\ $$ Commented by maxmathsup by imad…
Question Number 57231 by maxmathsup by imad last updated on 31/Mar/19 $${find}\:{tbe}\:{value}\:{of}\:\int_{−\infty} ^{+\infty} \:\:\frac{{x}−\mathrm{3}}{\left({x}^{\mathrm{2}} \:+\mathrm{1}\right)\left({x}^{\mathrm{2}} −{x}\:+\mathrm{2}\right)^{\mathrm{2}} }\:{dx} \\ $$ Commented by maxmathsup by imad last…
Question Number 57230 by maxmathsup by imad last updated on 31/Mar/19 $$\left.\mathrm{1}\right)\:{find}\:\int\:\:\frac{{dx}}{{x}^{\mathrm{2}} \left({x}+\mathrm{1}\right)^{\mathrm{3}} \left({x}^{\mathrm{2}} \:+\mathrm{1}\right)} \\ $$$$\left.\mathrm{2}\right)\:{calculate}\:\int_{\mathrm{1}} ^{\sqrt{\mathrm{3}}} \:\:\:\:\:\frac{{dx}}{{x}^{\mathrm{2}} \left({x}+\mathrm{1}\right)^{\mathrm{3}} \left({x}^{\mathrm{2}} \:+\mathrm{1}\right)} \\ $$ Terms…
Question Number 57228 by maxmathsup by imad last updated on 31/Mar/19 $${find}\:{f}\left({x}\right)\:=\int_{\mathrm{1}} ^{\mathrm{2}} \:\frac{{ln}\left(\mathrm{1}+{xt}\right)}{{t}^{\mathrm{2}} }\:{dt}\:\:{with}\:{x}>\mathrm{0} \\ $$ Commented by maxmathsup by imad last updated on…
Question Number 57229 by maxmathsup by imad last updated on 31/Mar/19 $${give}\:\int_{\mathrm{0}} ^{\mathrm{1}} \:\frac{{x}^{\mathrm{5}} }{{x}^{\mathrm{3}} \:+\mathrm{1}}\:{dx}\:{at}\:{form}\:{of}\:{serie} \\ $$ Commented by maxmathsup by imad last updated…
Question Number 57227 by maxmathsup by imad last updated on 31/Mar/19 $${let}\:{f}\left(\alpha\right)=\int_{\mathrm{0}} ^{\mathrm{1}} \:\:\frac{{arctan}\left(\alpha{x}\right)}{\mathrm{1}+\alpha{x}^{\mathrm{2}} }\:{dx}\:\:\:{with}\:\alpha\:{real} \\ $$$$\left.\mathrm{1}\right)\:{find}\:{f}\left(\alpha\right)\:{interms}\:{of}\:\alpha \\ $$$$\left.\mathrm{2}\right)\:{find}\:{the}\:{values}\:{of}\:\:\int_{\mathrm{0}} ^{\mathrm{1}} \:\:\frac{{arctan}\left(\mathrm{2}{x}\right)}{\mathrm{1}+\mathrm{2}{x}^{\mathrm{2}} }\:{dx}\:{and}\:\int_{\mathrm{0}} ^{\mathrm{1}} \:\frac{{arctan}\left(\mathrm{4}{x}\right)}{\mathrm{1}+\mathrm{4}{x}^{\mathrm{2}} }{dx}…
Question Number 57226 by maxmathsup by imad last updated on 31/Mar/19 $${calculate}\:{A}_{{n}} =\int_{\mathrm{0}} ^{\mathrm{1}} \:{x}^{{n}} \sqrt{\frac{\mathrm{1}−{x}}{\mathrm{1}+{x}}}{dx}\:\:{with}\:{n}\:{integr}\:{natural} \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com