Category: Integration

Question Number 104339 by bemath last updated on 21/Jul/20 $$Examine\underset{0}{\stackrel{3}{\int }}\frac{2x}{{(1-x^2)}^{2/3}}dx$$ Commented by bemath last updated on 21/Jul/20 $${thank}\:{you}\:{both} \…

Question Number 169864 by mathlove last updated on 11/May/22 Answered by Mathspace last updated on 11/May/22 $$\left({}^3\sqrt{x}\right)=t\Rightarrow x=t^3\Rightarrow$$$$\int_{\mathrm{0}} ^{\mathrm{1}} \left(…\right)^{\left(…\right)} {dx}=\int_{\mathrm{0}} ^{\mathrm{1}}…

Question Number 169825 by mathlove last updated on 10/May/22 Answered by Mathspace last updated on 10/May/22 $${I}=_{{x}=\frac{\mathrm{1}}{{t}}} \:\:\:−\int_{\mathrm{0}} ^{\infty} \:\:\frac{{ln}\left(\frac{\mathrm{1}+\frac{\mathrm{1}}{{t}^{\mathrm{11}} }}{\mathrm{1}+\frac{\mathrm{1}}{{t}^{\mathrm{3}} }}\right)}{\left(\mathrm{1}+\frac{\mathrm{1}}{{t}^{\mathrm{2}} }\right)\left(−{lnt}\right)}\left(−\frac{{dt}}{{t}^{\mathrm{2}} }\right) \…

Question Number 104264 by mohammad17 last updated on 20/Jul/20 $${\int }_0^{\sqrt{2}}{\int }_y^{\sqrt{4-y^2}}\frac{1}{\sqrt{1+x^2+y^2}}dxdy$$ Answered by Ar Brandon last updated…

Question Number 38727 by maxmathsup by imad last updated on 28/Jun/18 $$letnfromNand{A}_n={\int }_{-\mathrm{\infty }}^{+\mathrm{\infty }}\frac{cos\left(ax\right)}{{(x^2+x+1)}^n}dxand$$$${B}_{{n}} =\:\int_{−\infty} ^{+\infty} \:\:\:\frac{{sin}\left({ax}\right)}{\left({x}^{\mathrm{2}} \:+{x}+\mathrm{1}\right)^{{n}} }{dx} \…