Question Number 76808 by aliesam last updated on 30/Dec/19 $$\int\frac{\mathrm{1}}{\:\sqrt{{x}^{\mathrm{3}} +\mathrm{1}}}{dx} \\ $$ Commented by redmiiuser last updated on 28/Mar/20 $${sir}\:{please}\:{check}\:{my}\: \\ $$$${answer} \\ $$…
Question Number 142338 by rs4089 last updated on 30/May/21 $$\int_{\mathrm{0}} ^{\infty} \frac{{sinx}}{{x}^{\mu} }{dx}\:\:=?\:\:\: \\ $$ Answered by Dwaipayan Shikari last updated on 30/May/21 $$\frac{\mathrm{1}}{{x}^{\mu} }=\frac{\mathrm{1}}{\Gamma\left(\mu\right)}\int_{\mathrm{0}}…
Question Number 76782 by mathmax by abdo last updated on 30/Dec/19 $${calculate}\:\int_{\mathrm{0}} ^{\infty} \:{e}^{−{x}} \:\:\frac{{sin}\left({x}^{\mathrm{2}} \right)}{{x}^{\mathrm{2}} }{dx} \\ $$ Answered by mind is power last…
Question Number 76780 by mathmax by abdo last updated on 30/Dec/19 $${find}\:{A}=\int_{−\infty} ^{+\infty} \:{x}\:{e}^{−{x}^{\mathrm{2}} } {arctan}\left({x}−\frac{\mathrm{1}}{{x}}\right){dx} \\ $$ Commented by mathmax by abdo last updated…
Question Number 76781 by mathmax by abdo last updated on 30/Dec/19 $${find}\:\int_{\mathrm{0}} ^{\infty} \:\:\frac{\mathrm{1}−{e}^{−{x}^{\mathrm{2}} } }{{x}^{\mathrm{2}} }{dx} \\ $$ Commented by ~blr237~ last updated on…
Question Number 76779 by mathmax by abdo last updated on 30/Dec/19 $${calculate}\:\int_{\mathrm{0}} ^{\pi} \:\:\frac{{x}^{\mathrm{2}} {cosx}}{\mathrm{3}+{sin}^{\mathrm{2}} {x}}{dx} \\ $$ Commented by mathmax by abdo last updated…
Question Number 142290 by mnjuly1970 last updated on 29/May/21 $$\:\:\:{evaluate}: \\ $$$$\:\:\:\:\:\:\Theta:=\underset{{n}=\mathrm{1}} {\overset{\infty} {\sum}}\frac{\zeta\left({n}+\mathrm{1}\right)−\mathrm{1}}{{n}+\mathrm{1}}\:=? \\ $$$$\:\:\:\:\: \\ $$ Answered by Dwaipayan Shikari last updated on…
Question Number 142285 by qaz last updated on 29/May/21 $$\mathscr{L}\left(\frac{\mathrm{1}+\mathrm{2bt}}{\:\sqrt{\mathrm{t}}}\mathrm{e}^{\mathrm{bt}} \right)\left(\mathrm{s}\right)=? \\ $$ Answered by Dwaipayan Shikari last updated on 29/May/21 $$\mathscr{L}\left({f}\left({t}\right)\right)\left({s}\right)=\int_{\mathrm{0}} ^{\infty} {f}\left({t}\right){e}^{−{st}} \:{dt}…
Question Number 142273 by liberty last updated on 29/May/21 $$\:\:\underset{\frac{\mathrm{1}}{\mathrm{3}}} {\overset{\mathrm{3}} {\int}}\:\frac{{x}+\mathrm{sin}\:\left({x}^{\mathrm{2}} −\frac{\mathrm{1}}{{x}^{\mathrm{2}} }\right)}{{x}\left(\mathrm{2}+\mathrm{cos}\:\left({x}+\frac{\mathrm{1}}{{x}}\right)\right)}\:{dx}\:? \\ $$ Commented by abdullahoudou last updated on 29/May/21 $${u}=\mathrm{1}/{x} \\…
Question Number 142256 by rs4089 last updated on 28/May/21 $$\int_{\mathrm{0}} ^{\infty} \frac{{sinx}}{{x}^{\mathrm{1}−{a}} }{dx} \\ $$ Answered by Dwaipayan Shikari last updated on 28/May/21 $$\int_{\mathrm{0}} ^{\infty}…