Category: Integration

Question Number 90041 by abdomathmax last updated on 21/Apr/20 $$calculste{\int }_0^{\mathrm{\infty }}\frac{xarctan\left(2x\right)}{9+2x^2}dx$$ Answered by mathmax by abdo last updated on 23/Apr/20 $${sorry}\:{Q}\:{is}\:\int_{\mathrm{0}}…

Question Number 90003 by M±th+et£s last updated on 20/Apr/20 $$showthat$$$${\int }_{-\mathrm{\infty }}^{\mathrm{\infty }}\frac{dx}{1+{(x+tan\left(x\right))}^2}=\pi$$ Terms of Service Privacy Policy Contact: info@tinkutara.com

Question Number 89946 by jagoll last updated on 20/Apr/20 $$\int \underset{-\frac{\pi }{2}}{\stackrel{\frac{\pi }{2}}{}}\frac{\mathrm{dx}}{1+{\mathrm{e}}^{\sin \mathrm{x}}}$$ Answered by john santu last updated on 20/Apr/20 $${I}\:=\:\underset{\frac{−\pi}{\mathrm{2}}} {\overset{\frac{\pi}{\mathrm{2}}}…

Question Number 89918 by jagoll last updated on 20/Apr/20 $$\int \frac{\mathrm{x}{\tan }^{-1}\left(\mathrm{x}\right)}{{(1+{\mathrm{x}}^2)}^{3/2}}\mathrm{dx}$$ Commented by john santu last updated on 20/Apr/20 $$\left[\:{u}\:=\:\mathrm{tan}^{−\mathrm{1}} \left({x}\right)\:\Rightarrow{du}\:=\:\frac{{dx}}{\mathrm{1}+{x}^{\mathrm{2}}…

Question Number 89891 by mathmax by abdo last updated on 19/Apr/20 $$calculate{\int }_{\frac{1}{e}}^{1}ln\left(x\right)ln(1+x)dx$$ Commented by mathmax by abdo last updated on 20/Apr/20…