Category: Integration

Question Number 85166 by mathmax by abdo last updated on 19/Mar/20 $$find\int (x^2-1)\sqrt{x^2+1}dx$$ Commented by john santu last updated on 21/Mar/20 $$\mathrm{let}\:\mathrm{K}\:=\:\int\:\mathrm{x}^{\mathrm{2}}…

Question Number 85162 by mathmax by abdo last updated on 19/Mar/20 $$1)find\int ln(\sqrt{x}+\sqrt{x+1})dx$$$$2)calculate{\int }_0^{1}ln(\sqrt{x}+\sqrt{x+1})dx$$ Commented by mathmax by abdo last updated…

Question Number 85158 by mathmax by abdo last updated on 19/Mar/20 $$calculate{U}_n={\int }_{-\frac{1}{n}}^{\frac{1}{n}}{x}^2\sqrt{\frac{1-x}{1+x}}dx(nintegrandn⩾2)$$$$2)findnatureof\mathrm{\Sigma }{U}_n$$ Terms of Service Privacy Policy…

Question Number 150678 by krauss last updated on 14/Aug/21 $$$$$${\int }_0^2{\int }_0^{3-x^2}(3-x^2-y)dydx$$ Answered by Ar Brandon last…

Question Number 150655 by mnjuly1970 last updated on 14/Aug/21 Answered by Ar Brandon last updated on 14/Aug/21 $$\mathrm{I}=\int_{\mathrm{0}} ^{\infty} \frac{{e}^{−\sqrt{{x}}} \mathrm{ln}\left(\sqrt{{x}}\right)}{{x}^{\frac{\mathrm{1}}{\mathrm{4}}} }{dx}\underset{{x}={u}^{\mathrm{2}} } {=}\mathrm{2}\int_{\mathrm{0}} ^{\infty}…