Question Number 28827 by abdo imad last updated on 30/Jan/18 $${let}\:{give}\:{F}\left({x}\right)=\int_{\mathrm{0}} ^{\infty} \:\:\frac{{arctan}\left(\mathrm{1}+{x}\left(\mathrm{1}+{t}^{\mathrm{2}} \right)\right)}{\mathrm{1}+{t}^{\mathrm{2}} }{dt}\:\:{and}\:{x}>\mathrm{0} \\ $$$${calculate}\:\frac{{dF}}{{dx}}\left({x}\right).\:\: \\ $$ Terms of Service Privacy Policy Contact:…
Question Number 28828 by abdo imad last updated on 30/Jan/18 $${find}\:{f}\left({x}\right)=\int_{\mathrm{0}} ^{\mathrm{1}} \:\:{ln}\left(\mathrm{1}+{xt}^{\mathrm{2}} \right){dt}\:{with}\:\mid{x}\mid<\mathrm{1}\:. \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 28826 by abdo imad last updated on 30/Jan/18 $${let}\:{give}\:{f}\left({x}\right)=\:{e}^{−{x}} \:{cosx}\:\:{and}\:\mathrm{2}\pi\:{periodic} \\ $$$$\left.\mathrm{1}\right)\:{developp}\:{f}\:{at}\:{fourier}\:{series} \\ $$$$\left.\mathrm{2}\right)\:{find}\:{the}\:{value}\:{of}\:\:\sum_{{n}=−\infty} ^{{n}=+\infty} \:\:\:\frac{\left(−\mathrm{1}\right)^{{n}} }{\mathrm{1}+{n}^{\mathrm{2}} }\:. \\ $$ Terms of Service…
Question Number 28824 by abdo imad last updated on 30/Jan/18 $${by}\:{using}\:{residus}\:{theorem}\:{find}\:{the}\:{value}\:{of} \\ $$$${A}_{{n}} =\:\int_{\mathrm{0}} ^{\infty} \:\:\frac{{dx}}{\mathrm{1}+{x}^{{n}} }\:\:{with}\:{n}\:{integr}\:{and}\:{n}\geqslant\mathrm{2}. \\ $$ Terms of Service Privacy Policy Contact:…
Question Number 28823 by abdo imad last updated on 30/Jan/18 $${find}\:\:{I}\:=\:\int_{−\infty} ^{+\infty} \:\:\frac{\left({x}−\mathrm{1}\right){cosx}}{{x}^{\mathrm{2}} −\mathrm{2}{x}+\mathrm{2}}{dx}\:{and} \\ $$$${J}=\:\int_{−\infty} ^{+\infty} \:\:\frac{\left({x}−\mathrm{1}\right){sinx}}{{x}^{\mathrm{2}} −\mathrm{2}{x}\:+\mathrm{2}}\:{dx}. \\ $$ Terms of Service Privacy…
Question Number 94356 by ar247 last updated on 18/May/20 $$\int_{{y}} ^{\mathrm{3}} \left(\mathrm{3}{x}^{\mathrm{2}} −\mathrm{2}{x}+\mathrm{2}\right)=\mathrm{40} \\ $$$$\frac{\mathrm{1}}{\mathrm{2}}{y}=? \\ $$ Commented by ar247 last updated on 18/May/20 $${help}…
Question Number 94354 by M±th+et+s last updated on 18/May/20 $${by}\:{using}\:{ostrogadski}\:{method}\:{solve}\:{this} \\ $$$${integral} \\ $$$$\int\frac{\mathrm{3}{x}^{\mathrm{5}} −{x}^{\mathrm{4}} +\mathrm{2}{x}^{\mathrm{3}} −\mathrm{12}{x}^{\mathrm{2}} −\mathrm{2}{x}+\mathrm{1}}{\left({x}^{\mathrm{3}} −\mathrm{1}\right)^{\mathrm{2}} }{dx} \\ $$ Commented by MJS…
Question Number 28820 by abdo imad last updated on 30/Jan/18 $${find}\:{the}\:{value}\:{of}\:\int_{\mathrm{0}} ^{\mathrm{1}} \:\:\:\frac{{ln}\left(\mathrm{1}−\frac{{t}^{\mathrm{2}} }{\mathrm{4}}\right)}{{t}^{\mathrm{2}} }{dt}. \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 28819 by abdo imad last updated on 30/Jan/18 $${let}\:{give}\:{f}\left({x}\right)=\:\int_{\mathrm{0}} ^{\mathrm{1}} \:\:\frac{{ln}\left(\mathrm{1}−{x}^{\mathrm{2}} {t}^{\mathrm{2}} \right)}{{t}^{\mathrm{2}} }{dt}\:\:\:\:{with}\:\mid{x}\mid<\mathrm{1} \\ $$$${by}\:{using}\:{derivation}\:{under}\:\int\:\:{find}\:{the}\:{value}\:{of}\:{f}\left({x}\right). \\ $$ Terms of Service Privacy Policy…
Question Number 28817 by abdo imad last updated on 30/Jan/18 $${let}\:{give}\:{f}\left({x}\right)={e}^{{i}\alpha{x}} \:\:\mathrm{2}\pi\:{prriodic}\:{and}\:\alpha\:\in{R}−{Z} \\ $$$${developp}\:{f}\:{at}\:{fourier}\:{series}. \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com