Question Number 37636 by math khazana by abdo last updated on 16/Jun/18 $${find}\:\:\int_{\mathrm{0}} ^{\mathrm{6}} \left({x}^{\mathrm{2}} −{x}+\mathrm{1}\right){e}^{\left[−\mathrm{2}{x}\right]} {dx}\:. \\ $$ Commented by prof Abdo imad last…
Question Number 37635 by math khazana by abdo last updated on 16/Jun/18 $${let}\:{a}>\mathrm{0}\:\:{find}\:{the}\:{value}\:{of}\: \\ $$$${f}\left({a}\right)\:=\:\int_{\mathrm{0}} ^{+\infty} \:{e}^{−\left({t}^{\mathrm{2}} \:\:+\frac{{a}}{{t}^{\mathrm{2}} }\right)} {dt}\: \\ $$ Commented by prof…
Question Number 37634 by math khazana by abdo last updated on 16/Jun/18 $${find}\:\int_{\mathrm{0}} ^{+\infty} \:\:{e}^{−\left({t}^{\mathrm{2}} \:+\frac{\mathrm{1}}{{t}^{\mathrm{2}} }\right)} {dt} \\ $$ Commented by prof Abdo imad…
Question Number 37633 by math khazana by abdo last updated on 16/Jun/18 $${find}\:\:\int_{\mathrm{0}} ^{+\infty} \left[\:\:{x}\:{e}^{−{x}} \right]{dx} \\ $$ Answered by tanmay.chaudhury50@gmail.com last updated on 16/Jun/18…
Question Number 168707 by safojontoshtemirov last updated on 16/Apr/22 Commented by safojontoshtemirov last updated on 16/Apr/22 $${help}\:{me} \\ $$ Answered by mindispower last updated on…
Question Number 37630 by math khazana by abdo last updated on 16/Jun/18 $${find}\:\:\int\:\:\:\:\:\:\:\:\frac{{dx}}{\:\sqrt{{x}}\:\:+\sqrt{{x}+\mathrm{1}}\:+\sqrt{{x}+\mathrm{2}}} \\ $$ Answered by Ahmed Neutron last updated on 16/Jun/18 $$\int\left(\frac{\sqrt{{x}}}{{dx}}\right)^{−\mathrm{1}} +\int\left(\frac{\sqrt{{x}+\mathrm{1}}}{{dx}}\right)^{−\mathrm{1}}…
Question Number 103154 by Dwaipayan Shikari last updated on 13/Jul/20 $$\int_{\mathrm{0}} ^{\mathrm{1}} {logxlog}\left(\mathrm{1}−{x}\right){dx} \\ $$ Answered by OlafThorendsen last updated on 13/Jul/20 $$\mathrm{I}\:=\:\int_{\mathrm{0}} ^{\mathrm{1}} \mathrm{ln}{x}\mathrm{ln}\left(\mathrm{1}−{x}\right){dx}…
Question Number 168677 by infinityaction last updated on 15/Apr/22 Commented by infinityaction last updated on 15/Apr/22 $${please}\:{evaluate}\:{this}\:{problem} \\ $$ Answered by mnjuly1970 last updated on…
Question Number 37601 by prof Abdo imad last updated on 15/Jun/18 $${let}\:{give}\:{n}\:{inyehr}\:{natural}\geqslant\mathrm{1}\:{find}\:{tbe}\:{value}\:{of} \\ $$$${A}_{{n}} =\:\int_{\mathrm{0}} ^{\infty} \:\:\:\:\:\:\:\frac{{dx}}{\left({x}^{\mathrm{2}} +\mathrm{1}\right)\left({x}^{\mathrm{2}\:} +\mathrm{2}\right)….\left({x}^{\mathrm{2}} \:+{n}\right)} \\ $$ Commented by math…
Question Number 37602 by prof Abdo imad last updated on 15/Jun/18 $${find}\:{the}\:{value}\:{of} \\ $$$${f}\left({a}\right)=\:\int_{\mathrm{0}} ^{\infty} \:\:\:\frac{{x}^{\mathrm{2}} −\mathrm{1}}{\left({x}^{\mathrm{4}} \:\:\:+{a}^{\mathrm{4}} \right)^{\mathrm{2}} }{dx} \\ $$$$\left.\mathrm{2}\right)\:{calculate}\:\:\:\int_{\mathrm{0}} ^{\infty} \:\:\:\:\:\:\frac{{x}^{\mathrm{2}} \:−\mathrm{1}}{\left({x}^{\mathrm{4}}…