Question Number 62207 by maxmathsup by imad last updated on 17/Jun/19 $${calculate}\:\int\:\:\:\:\:\:\frac{{x}+\mathrm{3}}{\left({x}−\mathrm{2}\right)\sqrt{{x}^{\mathrm{2}} +{x}+\mathrm{1}}}\:{dx} \\ $$ Commented by maxmathsup by imad last updated on 18/Jun/19 $${I}\:=\int\:\frac{{x}−\mathrm{2}\:+\mathrm{5}}{\left({x}−\mathrm{2}\right)\sqrt{{x}^{\mathrm{2}}…
Question Number 62203 by maxmathsup by imad last updated on 17/Jun/19 $${calculate}\:\int\int_{\left[\mathrm{0},\mathrm{2}\right]^{\mathrm{2}} } \:\:\:\:\frac{{arctan}\left(\sqrt{{x}^{\mathrm{2}} +{y}^{\mathrm{2}} }\right)}{\mathrm{3}−\sqrt{{x}^{\mathrm{2}} +{y}^{\mathrm{2}} }}{dxdy} \\ $$ Commented by maxmathsup by imad…
Question Number 62201 by maxmathsup by imad last updated on 17/Jun/19 $${calculate}\:\int\int_{{W}} \:\:{e}^{{x}−\mathrm{2}{y}} {sin}\left({x}+\mathrm{2}{y}\right)\:{dxdy} \\ $$$${W}\:=\left\{\left({x},{y}\right)^{\mathrm{2}} /\:\:\mathrm{0}\leqslant{x}\leqslant\mathrm{1}\:\:{and}\:\:\mathrm{2}\leqslant{y}\leqslant\sqrt{\mathrm{5}}\right\} \\ $$ Commented by mathmax by abdo last…
Question Number 62198 by maxmathsup by imad last updated on 17/Jun/19 $${find}\:\int\int_{\left[\mathrm{0},\mathrm{1}\right]} \:\:\:\:\frac{{x}^{\mathrm{2}} −{y}^{\mathrm{2}} }{\mathrm{3}−\sqrt{{x}^{\mathrm{2}} +{y}^{\mathrm{2}} }}\:{dxdy}\:. \\ $$ Terms of Service Privacy Policy Contact:…
Question Number 127732 by aseer imad last updated on 01/Jan/21 $${z}={x}+{iy} \\ $$$${why}\:\frac{{f}\left({z}\right)}{{z}−{a}}\:{not}\:{analytical}?\:/\:{not}\:{analytical}\:{at}\:{z}={a}? \\ $$$$ \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 62196 by maxmathsup by imad last updated on 17/Jun/19 $${calculate}\:\int_{\mathrm{0}} ^{\infty} \:\frac{{ln}\left(\mathrm{2}+{e}^{−{t}^{\mathrm{2}} } \right)}{{t}^{\mathrm{2}} \:+\mathrm{3}}{dt} \\ $$ Commented by mathmax by abdo last…
Question Number 62197 by maxmathsup by imad last updated on 17/Jun/19 $${calculate}\:\int\int_{\left[\mathrm{0},\mathrm{1}\right]^{\mathrm{2}} } \:\:\:\:\sqrt{{x}^{\mathrm{2}} +{y}^{\mathrm{2}} }{sin}\left(\sqrt{{x}^{\mathrm{2}} +{y}^{\mathrm{2}} }\right){dxdy} \\ $$ Commented by mathmax by abdo…
Question Number 62195 by maxmathsup by imad last updated on 17/Jun/19 $${calculate}\:\:{A}_{{n}} =\int_{−\infty} ^{+\infty} \:\:\:\frac{{dx}}{\left({x}^{\mathrm{2}} \:+{x}+\mathrm{1}\right)^{{n}} }\:\:\:{with}\:{n}\:{integr}\:{natural}\left({n}\geqslant\mathrm{1}\right) \\ $$ Terms of Service Privacy Policy Contact:…
Question Number 127726 by mnjuly1970 last updated on 01/Jan/21 $$\:\:\:\:\:\:\:\:\:\:\:\:…{nice}\:\:{calculus}… \\ $$$$\:{evaluate}:: \\ $$$$\:\:\:\Omega=\int_{\mathrm{0}} ^{\:\frac{\pi}{\mathrm{2}}} \int_{\mathrm{0}} ^{\:\frac{\pi}{\mathrm{2}}} \:\left(\frac{{ln}\left({cos}\left(\frac{{x}}{\mathrm{2}}\right)\right)−{ln}\left({cos}\left(\frac{{y}}{\mathrm{2}}\right)\right)}{{cos}\left({x}\right)−{cos}\left({y}\right)}\right){dxdy} \\ $$$$ \\ $$ Terms of Service…
Question Number 127725 by mnjuly1970 last updated on 01/Jan/21 $$\:\:\:\:\:\:\:…\:{advanced}\:\:{mathematics}… \\ $$$$\:\:{prove}\:\:{that}\::: \\ $$$$\:\:\:\:\:\:\:\:\:\underset{{n}=\mathrm{0}} {\overset{\infty} {\sum}}\frac{\mathrm{1}}{\mathrm{2}^{{n}} \begin{pmatrix}{\mathrm{3}{n}}\\{\:\:{n}}\end{pmatrix}}\:\overset{???} {=}\frac{\mathrm{3}}{\mathrm{125}}\left(\frac{\mathrm{11}\pi}{\mathrm{6}}−\mathrm{2}{log}\left(\mathrm{2}\right)+\mathrm{45}\right) \\ $$$$ \\ $$ Answered by Ar…