Category: Integration

Question Number 77549 by BK last updated on 07/Jan/20 Commented by abdomathmax last updated on 08/Jan/20 $$\int_{\mathrm{0}} ^{\mathrm{1}} \:\frac{{dz}}{\mathrm{1}−{xyz}}\:=\int_{\mathrm{0}} ^{\mathrm{1}} \left(\sum_{{n}=\mathrm{0}} ^{\infty} {x}^{{n}} {y}^{{n}} \:{z}^{{n}}…

Question Number 143081 by Mathspace last updated on 09/Jun/21 $$calculate{\int }_0^{\mathrm{\infty }}{xe}^{-x^2}arctanxdx$$ Answered by qaz last updated on 10/Jun/21 $$\int_{\mathrm{0}} ^{\infty}…

Question Number 143083 by Mathspace last updated on 09/Jun/21 $$calculate\mathrm{\Psi }(a,b)={\int }_0^{\mathrm{\infty }}\frac{e^{-{ax}^2}}{{(x^2+b^2)}^2}dx$$$$witha>0andb>0$$ Answered by Olaf_Thorendsen last…

Question Number 143071 by cesarL last updated on 09/Jun/21 $${\int }_0^{\frac{\pi }{4}}\frac{8dx}{tgx+1}$$ Answered by TheSupreme last updated on 09/Jun/21 $$y=tan\left(x\right)$$$$\frac{\mathrm{1}}{\mathrm{1}+{y}^{\mathrm{2}} }{dy}={dx}…

Question Number 11982 by tawa last updated on 08/Apr/17 $$\int {\mathrm{x}}^5\left(\sqrt{{\mathrm{x}}^3+1}\right)\mathrm{dx}$$ Answered by ajfour last updated on 08/Apr/17 $${I}=\frac{\mathrm{1}}{\mathrm{3}}\int{x}^{\mathrm{3}} \sqrt{{x}^{\mathrm{3}} +\mathrm{1}}\:\left(\mathrm{3}{x}^{\mathrm{2}} {dx}\right)…